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Finding the Third Proportional to 725,614 and 1,497,804

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Solution

The third proportional to 725,614 and 1,497,804 is: 3,091,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,614 : 1,497,804 = 1,497,804 : x
  2. Step 2: Convert to fraction form
    725,614/1,497,804 = 1,497,804/x
  3. Step 3: Cross multiply
    725,614x = 1,497,804 × 1,497,804
  4. Step 4: Simplify right side
    725,614x = 2,243,416,822,416
  5. Step 5: Solve for x
    x = 2,243,416,822,416/725,614
  6. Step 6: Final answer
    x = 3,091,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.