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Finding the Third Proportional to 689,569 and 1,070,438

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Solution

The third proportional to 689,569 and 1,070,438 is: 1,661,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,569 : 1,070,438 = 1,070,438 : x
  2. Step 2: Convert to fraction form
    689,569/1,070,438 = 1,070,438/x
  3. Step 3: Cross multiply
    689,569x = 1,070,438 × 1,070,438
  4. Step 4: Simplify right side
    689,569x = 1,145,837,511,844
  5. Step 5: Solve for x
    x = 1,145,837,511,844/689,569
  6. Step 6: Final answer
    x = 1,661,672.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.