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Finding the Third Proportional to 743,337 and 1,181,466

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Solution

The third proportional to 743,337 and 1,181,466 is: 1,877,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,337 : 1,181,466 = 1,181,466 : x
  2. Step 2: Convert to fraction form
    743,337/1,181,466 = 1,181,466/x
  3. Step 3: Cross multiply
    743,337x = 1,181,466 × 1,181,466
  4. Step 4: Simplify right side
    743,337x = 1,395,861,909,156
  5. Step 5: Solve for x
    x = 1,395,861,909,156/743,337
  6. Step 6: Final answer
    x = 1,877,831.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.