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Finding the Third Proportional to 547,693,489 and 1,217,843,426

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Solution

The third proportional to 547,693,489 and 1,217,843,426 is: 2,707,979,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,693,489 : 1,217,843,426 = 1,217,843,426 : x
  2. Step 2: Convert to fraction form
    547,693,489/1,217,843,426 = 1,217,843,426/x
  3. Step 3: Cross multiply
    547,693,489x = 1,217,843,426 × 1,217,843,426
  4. Step 4: Simplify right side
    547,693,489x = 1,483,142,610,251,417,600
  5. Step 5: Solve for x
    x = 1,483,142,610,251,417,600/547,693,489
  6. Step 6: Final answer
    x = 2,707,979,262.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.