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Finding the Third Proportional to 614,324 and 916,747

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Solution

The third proportional to 614,324 and 916,747 is: 1,368,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,324 : 916,747 = 916,747 : x
  2. Step 2: Convert to fraction form
    614,324/916,747 = 916,747/x
  3. Step 3: Cross multiply
    614,324x = 916,747 × 916,747
  4. Step 4: Simplify right side
    614,324x = 840,425,062,009
  5. Step 5: Solve for x
    x = 840,425,062,009/614,324
  6. Step 6: Final answer
    x = 1,368,048.56

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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.