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Finding the Third Proportional to 623,496 and 1,351,920

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Solution

The third proportional to 623,496 and 1,351,920 is: 2,931,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,496 : 1,351,920 = 1,351,920 : x
  2. Step 2: Convert to fraction form
    623,496/1,351,920 = 1,351,920/x
  3. Step 3: Cross multiply
    623,496x = 1,351,920 × 1,351,920
  4. Step 4: Simplify right side
    623,496x = 1,827,687,686,400
  5. Step 5: Solve for x
    x = 1,827,687,686,400/623,496
  6. Step 6: Final answer
    x = 2,931,354.31

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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.