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Finding the Third Proportional to 745,128 and 1,180,395

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Solution

The third proportional to 745,128 and 1,180,395 is: 1,869,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,128 : 1,180,395 = 1,180,395 : x
  2. Step 2: Convert to fraction form
    745,128/1,180,395 = 1,180,395/x
  3. Step 3: Cross multiply
    745,128x = 1,180,395 × 1,180,395
  4. Step 4: Simplify right side
    745,128x = 1,393,332,356,025
  5. Step 5: Solve for x
    x = 1,393,332,356,025/745,128
  6. Step 6: Final answer
    x = 1,869,923.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.