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Finding the Third Proportional to 291,234,840 and 625,693,534

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Solution

The third proportional to 291,234,840 and 625,693,534 is: 1,344,249,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,234,840 : 625,693,534 = 625,693,534 : x
  2. Step 2: Convert to fraction form
    291,234,840/625,693,534 = 625,693,534/x
  3. Step 3: Cross multiply
    291,234,840x = 625,693,534 × 625,693,534
  4. Step 4: Simplify right side
    291,234,840x = 391,492,398,489,409,152
  5. Step 5: Solve for x
    x = 391,492,398,489,409,152/291,234,840
  6. Step 6: Final answer
    x = 1,344,249,879.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.