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Finding the Third Proportional to 1,180,306 and 1,731,729

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Solution

The third proportional to 1,180,306 and 1,731,729 is: 2,540,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,306 : 1,731,729 = 1,731,729 : x
  2. Step 2: Convert to fraction form
    1,180,306/1,731,729 = 1,731,729/x
  3. Step 3: Cross multiply
    1,180,306x = 1,731,729 × 1,731,729
  4. Step 4: Simplify right side
    1,180,306x = 2,998,885,329,441
  5. Step 5: Solve for x
    x = 2,998,885,329,441/1,180,306
  6. Step 6: Final answer
    x = 2,540,769.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.