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Finding the Third Proportional to 532,414 and 1,153,352

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Solution

The third proportional to 532,414 and 1,153,352 is: 2,498,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,414 : 1,153,352 = 1,153,352 : x
  2. Step 2: Convert to fraction form
    532,414/1,153,352 = 1,153,352/x
  3. Step 3: Cross multiply
    532,414x = 1,153,352 × 1,153,352
  4. Step 4: Simplify right side
    532,414x = 1,330,220,835,904
  5. Step 5: Solve for x
    x = 1,330,220,835,904/532,414
  6. Step 6: Final answer
    x = 2,498,470.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.