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Finding the Third Proportional to 633,507 and 981,753

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Solution

The third proportional to 633,507 and 981,753 is: 1,521,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,507 : 981,753 = 981,753 : x
  2. Step 2: Convert to fraction form
    633,507/981,753 = 981,753/x
  3. Step 3: Cross multiply
    633,507x = 981,753 × 981,753
  4. Step 4: Simplify right side
    633,507x = 963,838,953,009
  5. Step 5: Solve for x
    x = 963,838,953,009/633,507
  6. Step 6: Final answer
    x = 1,521,433.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.