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Finding the Third Proportional to 437,746 and 958,533

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Solution

The third proportional to 437,746 and 958,533 is: 2,098,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,746 : 958,533 = 958,533 : x
  2. Step 2: Convert to fraction form
    437,746/958,533 = 958,533/x
  3. Step 3: Cross multiply
    437,746x = 958,533 × 958,533
  4. Step 4: Simplify right side
    437,746x = 918,785,512,089
  5. Step 5: Solve for x
    x = 918,785,512,089/437,746
  6. Step 6: Final answer
    x = 2,098,900.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.