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Finding the Third Proportional to 687,102 and 1,069,917

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Solution

The third proportional to 687,102 and 1,069,917 is: 1,666,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,102 : 1,069,917 = 1,069,917 : x
  2. Step 2: Convert to fraction form
    687,102/1,069,917 = 1,069,917/x
  3. Step 3: Cross multiply
    687,102x = 1,069,917 × 1,069,917
  4. Step 4: Simplify right side
    687,102x = 1,144,722,386,889
  5. Step 5: Solve for x
    x = 1,144,722,386,889/687,102
  6. Step 6: Final answer
    x = 1,666,015.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.