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Finding the Third Proportional to 666,472 and 1,032,270

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Solution

The third proportional to 666,472 and 1,032,270 is: 1,598,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,472 : 1,032,270 = 1,032,270 : x
  2. Step 2: Convert to fraction form
    666,472/1,032,270 = 1,032,270/x
  3. Step 3: Cross multiply
    666,472x = 1,032,270 × 1,032,270
  4. Step 4: Simplify right side
    666,472x = 1,065,581,352,900
  5. Step 5: Solve for x
    x = 1,065,581,352,900/666,472
  6. Step 6: Final answer
    x = 1,598,838.89

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