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Finding the Third Proportional to 490,428 and 1,033,344

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Solution

The third proportional to 490,428 and 1,033,344 is: 2,177,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,428 : 1,033,344 = 1,033,344 : x
  2. Step 2: Convert to fraction form
    490,428/1,033,344 = 1,033,344/x
  3. Step 3: Cross multiply
    490,428x = 1,033,344 × 1,033,344
  4. Step 4: Simplify right side
    490,428x = 1,067,799,822,336
  5. Step 5: Solve for x
    x = 1,067,799,822,336/490,428
  6. Step 6: Final answer
    x = 2,177,281.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.