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Finding the Third Proportional to 732,612 and 1,521,348

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Solution

The third proportional to 732,612 and 1,521,348 is: 3,159,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,612 : 1,521,348 = 1,521,348 : x
  2. Step 2: Convert to fraction form
    732,612/1,521,348 = 1,521,348/x
  3. Step 3: Cross multiply
    732,612x = 1,521,348 × 1,521,348
  4. Step 4: Simplify right side
    732,612x = 2,314,499,737,104
  5. Step 5: Solve for x
    x = 2,314,499,737,104/732,612
  6. Step 6: Final answer
    x = 3,159,243.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.