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Finding the Third Proportional to 595,112 and 919,472

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Solution

The third proportional to 595,112 and 919,472 is: 1,420,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,112 : 919,472 = 919,472 : x
  2. Step 2: Convert to fraction form
    595,112/919,472 = 919,472/x
  3. Step 3: Cross multiply
    595,112x = 919,472 × 919,472
  4. Step 4: Simplify right side
    595,112x = 845,428,758,784
  5. Step 5: Solve for x
    x = 845,428,758,784/595,112
  6. Step 6: Final answer
    x = 1,420,621.26

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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.