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Finding the Third Proportional to 615,932 and 914,900

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Solution

The third proportional to 615,932 and 914,900 is: 1,358,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,932 : 914,900 = 914,900 : x
  2. Step 2: Convert to fraction form
    615,932/914,900 = 914,900/x
  3. Step 3: Cross multiply
    615,932x = 914,900 × 914,900
  4. Step 4: Simplify right side
    615,932x = 837,042,010,000
  5. Step 5: Solve for x
    x = 837,042,010,000/615,932
  6. Step 6: Final answer
    x = 1,358,984.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.