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Finding the Third Proportional to 532,102 and 842,418

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Solution

The third proportional to 532,102 and 842,418 is: 1,333,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102 : 842,418 = 842,418 : x
  2. Step 2: Convert to fraction form
    532,102/842,418 = 842,418/x
  3. Step 3: Cross multiply
    532,102x = 842,418 × 842,418
  4. Step 4: Simplify right side
    532,102x = 709,668,086,724
  5. Step 5: Solve for x
    x = 709,668,086,724/532,102
  6. Step 6: Final answer
    x = 1,333,706.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.