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Finding the Third Proportional to 666,537 and 1,032,372

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Solution

The third proportional to 666,537 and 1,032,372 is: 1,598,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,537 : 1,032,372 = 1,032,372 : x
  2. Step 2: Convert to fraction form
    666,537/1,032,372 = 1,032,372/x
  3. Step 3: Cross multiply
    666,537x = 1,032,372 × 1,032,372
  4. Step 4: Simplify right side
    666,537x = 1,065,791,946,384
  5. Step 5: Solve for x
    x = 1,065,791,946,384/666,537
  6. Step 6: Final answer
    x = 1,598,998.92

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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.