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Finding the Third Proportional to 1,019,575,162.69 and 1,574,402,482.69

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Solution

The third proportional to 1,019,575,162.69 and 1,574,402,482.69 is: 2,431,152,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,575,162.69 : 1,574,402,482.69 = 1,574,402,482.69 : x
  2. Step 2: Convert to fraction form
    1,019,575,162.69/1,574,402,482.69 = 1,574,402,482.69/x
  3. Step 3: Cross multiply
    1,019,575,162.69x = 1,574,402,482.69 × 1,574,402,482.69
  4. Step 4: Simplify right side
    1,019,575,162.69x = 2,478,743,177,492,563,968
  5. Step 5: Solve for x
    x = 2,478,743,177,492,563,968/1,019,575,162.69
  6. Step 6: Final answer
    x = 2,431,152,962.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.