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Finding the Third Proportional to 658,038 and 1,367,748

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Solution

The third proportional to 658,038 and 1,367,748 is: 2,842,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,038 : 1,367,748 = 1,367,748 : x
  2. Step 2: Convert to fraction form
    658,038/1,367,748 = 1,367,748/x
  3. Step 3: Cross multiply
    658,038x = 1,367,748 × 1,367,748
  4. Step 4: Simplify right side
    658,038x = 1,870,734,591,504
  5. Step 5: Solve for x
    x = 1,870,734,591,504/658,038
  6. Step 6: Final answer
    x = 2,842,897.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.