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Finding the Third Proportional to 687,993 and 1,011,767

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Solution

The third proportional to 687,993 and 1,011,767 is: 1,487,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,993 : 1,011,767 = 1,011,767 : x
  2. Step 2: Convert to fraction form
    687,993/1,011,767 = 1,011,767/x
  3. Step 3: Cross multiply
    687,993x = 1,011,767 × 1,011,767
  4. Step 4: Simplify right side
    687,993x = 1,023,672,462,289
  5. Step 5: Solve for x
    x = 1,023,672,462,289/687,993
  6. Step 6: Final answer
    x = 1,487,911.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.