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Finding the Third Proportional to 763,264 and 1,121,552

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Solution

The third proportional to 763,264 and 1,121,552 is: 1,648,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,264 : 1,121,552 = 1,121,552 : x
  2. Step 2: Convert to fraction form
    763,264/1,121,552 = 1,121,552/x
  3. Step 3: Cross multiply
    763,264x = 1,121,552 × 1,121,552
  4. Step 4: Simplify right side
    763,264x = 1,257,878,888,704
  5. Step 5: Solve for x
    x = 1,257,878,888,704/763,264
  6. Step 6: Final answer
    x = 1,648,025.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.