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Finding the Third Proportional to 586,730 and 885,711

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Solution

The third proportional to 586,730 and 885,711 is: 1,337,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,730 : 885,711 = 885,711 : x
  2. Step 2: Convert to fraction form
    586,730/885,711 = 885,711/x
  3. Step 3: Cross multiply
    586,730x = 885,711 × 885,711
  4. Step 4: Simplify right side
    586,730x = 784,483,975,521
  5. Step 5: Solve for x
    x = 784,483,975,521/586,730
  6. Step 6: Final answer
    x = 1,337,044.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.