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Finding the Third Proportional to 766,324 and 1,665,292

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Solution

The third proportional to 766,324 and 1,665,292 is: 3,618,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,324 : 1,665,292 = 1,665,292 : x
  2. Step 2: Convert to fraction form
    766,324/1,665,292 = 1,665,292/x
  3. Step 3: Cross multiply
    766,324x = 1,665,292 × 1,665,292
  4. Step 4: Simplify right side
    766,324x = 2,773,197,445,264
  5. Step 5: Solve for x
    x = 2,773,197,445,264/766,324
  6. Step 6: Final answer
    x = 3,618,831.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.