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Finding the Third Proportional to 296,452,904 and 643,938,496

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Solution

The third proportional to 296,452,904 and 643,938,496 is: 1,398,727,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,452,904 : 643,938,496 = 643,938,496 : x
  2. Step 2: Convert to fraction form
    296,452,904/643,938,496 = 643,938,496/x
  3. Step 3: Cross multiply
    296,452,904x = 643,938,496 × 643,938,496
  4. Step 4: Simplify right side
    296,452,904x = 414,656,786,630,742,016
  5. Step 5: Solve for x
    x = 414,656,786,630,742,016/296,452,904
  6. Step 6: Final answer
    x = 1,398,727,356.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.