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Finding the Third Proportional to 437,512 and 935,688

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Solution

The third proportional to 437,512 and 935,688 is: 2,001,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,512 : 935,688 = 935,688 : x
  2. Step 2: Convert to fraction form
    437,512/935,688 = 935,688/x
  3. Step 3: Cross multiply
    437,512x = 935,688 × 935,688
  4. Step 4: Simplify right side
    437,512x = 875,512,033,344
  5. Step 5: Solve for x
    x = 875,512,033,344/437,512
  6. Step 6: Final answer
    x = 2,001,115.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.