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Finding the Third Proportional to 725,616 and 1,126,320

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Solution

The third proportional to 725,616 and 1,126,320 is: 1,748,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,616 : 1,126,320 = 1,126,320 : x
  2. Step 2: Convert to fraction form
    725,616/1,126,320 = 1,126,320/x
  3. Step 3: Cross multiply
    725,616x = 1,126,320 × 1,126,320
  4. Step 4: Simplify right side
    725,616x = 1,268,596,742,400
  5. Step 5: Solve for x
    x = 1,268,596,742,400/725,616
  6. Step 6: Final answer
    x = 1,748,303.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.