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Finding the Third Proportional to 591,532 and 909,246

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Solution

The third proportional to 591,532 and 909,246 is: 1,397,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,532 : 909,246 = 909,246 : x
  2. Step 2: Convert to fraction form
    591,532/909,246 = 909,246/x
  3. Step 3: Cross multiply
    591,532x = 909,246 × 909,246
  4. Step 4: Simplify right side
    591,532x = 826,728,288,516
  5. Step 5: Solve for x
    x = 826,728,288,516/591,532
  6. Step 6: Final answer
    x = 1,397,605.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.