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Finding the Third Proportional to 688,476 and 1,491,320

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Solution

The third proportional to 688,476 and 1,491,320 is: 3,230,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,476 : 1,491,320 = 1,491,320 : x
  2. Step 2: Convert to fraction form
    688,476/1,491,320 = 1,491,320/x
  3. Step 3: Cross multiply
    688,476x = 1,491,320 × 1,491,320
  4. Step 4: Simplify right side
    688,476x = 2,224,035,342,400
  5. Step 5: Solve for x
    x = 2,224,035,342,400/688,476
  6. Step 6: Final answer
    x = 3,230,374.54

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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.