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Finding the Third Proportional to 701,280 and 1,514,624

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Solution

The third proportional to 701,280 and 1,514,624 is: 3,271,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,280 : 1,514,624 = 1,514,624 : x
  2. Step 2: Convert to fraction form
    701,280/1,514,624 = 1,514,624/x
  3. Step 3: Cross multiply
    701,280x = 1,514,624 × 1,514,624
  4. Step 4: Simplify right side
    701,280x = 2,294,085,861,376
  5. Step 5: Solve for x
    x = 2,294,085,861,376/701,280
  6. Step 6: Final answer
    x = 3,271,283.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.