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Finding the Third Proportional to 527,294 and 1,129,324

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Solution

The third proportional to 527,294 and 1,129,324 is: 2,418,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,294 : 1,129,324 = 1,129,324 : x
  2. Step 2: Convert to fraction form
    527,294/1,129,324 = 1,129,324/x
  3. Step 3: Cross multiply
    527,294x = 1,129,324 × 1,129,324
  4. Step 4: Simplify right side
    527,294x = 1,275,372,696,976
  5. Step 5: Solve for x
    x = 1,275,372,696,976/527,294
  6. Step 6: Final answer
    x = 2,418,712.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.