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Finding the Third Proportional to 1,019,574,980 and 1,574,402,210

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Solution

The third proportional to 1,019,574,980 and 1,574,402,210 is: 2,431,152,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,980 : 1,574,402,210 = 1,574,402,210 : x
  2. Step 2: Convert to fraction form
    1,019,574,980/1,574,402,210 = 1,574,402,210/x
  3. Step 3: Cross multiply
    1,019,574,980x = 1,574,402,210 × 1,574,402,210
  4. Step 4: Simplify right side
    1,019,574,980x = 2,478,742,318,852,883,968
  5. Step 5: Solve for x
    x = 2,478,742,318,852,883,968/1,019,574,980
  6. Step 6: Final answer
    x = 2,431,152,556.19

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Why These Related Problems?

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