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Finding the Third Proportional to 1,097,448 and 1,456,560

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Solution

The third proportional to 1,097,448 and 1,456,560 is: 1,933,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,448 : 1,456,560 = 1,456,560 : x
  2. Step 2: Convert to fraction form
    1,097,448/1,456,560 = 1,456,560/x
  3. Step 3: Cross multiply
    1,097,448x = 1,456,560 × 1,456,560
  4. Step 4: Simplify right side
    1,097,448x = 2,121,567,033,600
  5. Step 5: Solve for x
    x = 2,121,567,033,600/1,097,448
  6. Step 6: Final answer
    x = 1,933,182.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.