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Finding the Third Proportional to 691,114 and 1,031,339

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Solution

The third proportional to 691,114 and 1,031,339 is: 1,539,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,114 : 1,031,339 = 1,031,339 : x
  2. Step 2: Convert to fraction form
    691,114/1,031,339 = 1,031,339/x
  3. Step 3: Cross multiply
    691,114x = 1,031,339 × 1,031,339
  4. Step 4: Simplify right side
    691,114x = 1,063,660,132,921
  5. Step 5: Solve for x
    x = 1,063,660,132,921/691,114
  6. Step 6: Final answer
    x = 1,539,051.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.