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Finding the Third Proportional to 971,280 and 1,474,416

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Solution

The third proportional to 971,280 and 1,474,416 is: 2,238,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,280 : 1,474,416 = 1,474,416 : x
  2. Step 2: Convert to fraction form
    971,280/1,474,416 = 1,474,416/x
  3. Step 3: Cross multiply
    971,280x = 1,474,416 × 1,474,416
  4. Step 4: Simplify right side
    971,280x = 2,173,902,541,056
  5. Step 5: Solve for x
    x = 2,173,902,541,056/971,280
  6. Step 6: Final answer
    x = 2,238,183.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.