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Finding the Third Proportional to 732,638 and 1,521,400

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Solution

The third proportional to 732,638 and 1,521,400 is: 3,159,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,638 : 1,521,400 = 1,521,400 : x
  2. Step 2: Convert to fraction form
    732,638/1,521,400 = 1,521,400/x
  3. Step 3: Cross multiply
    732,638x = 1,521,400 × 1,521,400
  4. Step 4: Simplify right side
    732,638x = 2,314,657,960,000
  5. Step 5: Solve for x
    x = 2,314,657,960,000/732,638
  6. Step 6: Final answer
    x = 3,159,347.40

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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.