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Finding the Third Proportional to 286,577,730 and 614,046,906

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Solution

The third proportional to 286,577,730 and 614,046,906 is: 1,315,711,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,577,730 : 614,046,906 = 614,046,906 : x
  2. Step 2: Convert to fraction form
    286,577,730/614,046,906 = 614,046,906/x
  3. Step 3: Cross multiply
    286,577,730x = 614,046,906 × 614,046,906
  4. Step 4: Simplify right side
    286,577,730x = 377,053,602,768,172,864
  5. Step 5: Solve for x
    x = 377,053,602,768,172,864/286,577,730
  6. Step 6: Final answer
    x = 1,315,711,457.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.