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Finding the Third Proportional to 731,730 and 1,126,107

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Solution

The third proportional to 731,730 and 1,126,107 is: 1,733,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,730 : 1,126,107 = 1,126,107 : x
  2. Step 2: Convert to fraction form
    731,730/1,126,107 = 1,126,107/x
  3. Step 3: Cross multiply
    731,730x = 1,126,107 × 1,126,107
  4. Step 4: Simplify right side
    731,730x = 1,268,116,975,449
  5. Step 5: Solve for x
    x = 1,268,116,975,449/731,730
  6. Step 6: Final answer
    x = 1,733,039.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.