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Finding the Third Proportional to 689,578 and 1,070,453

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Solution

The third proportional to 689,578 and 1,070,453 is: 1,661,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,578 : 1,070,453 = 1,070,453 : x
  2. Step 2: Convert to fraction form
    689,578/1,070,453 = 1,070,453/x
  3. Step 3: Cross multiply
    689,578x = 1,070,453 × 1,070,453
  4. Step 4: Simplify right side
    689,578x = 1,145,869,625,209
  5. Step 5: Solve for x
    x = 1,145,869,625,209/689,578
  6. Step 6: Final answer
    x = 1,661,696.90

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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.