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Finding the Third Proportional to 688,426 and 1,491,260

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Solution

The third proportional to 688,426 and 1,491,260 is: 3,230,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,426 : 1,491,260 = 1,491,260 : x
  2. Step 2: Convert to fraction form
    688,426/1,491,260 = 1,491,260/x
  3. Step 3: Cross multiply
    688,426x = 1,491,260 × 1,491,260
  4. Step 4: Simplify right side
    688,426x = 2,223,856,387,600
  5. Step 5: Solve for x
    x = 2,223,856,387,600/688,426
  6. Step 6: Final answer
    x = 3,230,349.21

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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.