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Finding the Third Proportional to 998,178 and 1,535,820

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Solution

The third proportional to 998,178 and 1,535,820 is: 2,363,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,178 : 1,535,820 = 1,535,820 : x
  2. Step 2: Convert to fraction form
    998,178/1,535,820 = 1,535,820/x
  3. Step 3: Cross multiply
    998,178x = 1,535,820 × 1,535,820
  4. Step 4: Simplify right side
    998,178x = 2,358,743,072,400
  5. Step 5: Solve for x
    x = 2,358,743,072,400/998,178
  6. Step 6: Final answer
    x = 2,363,048.55

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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.