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Finding the Third Proportional to 437,748 and 958,537

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Solution

The third proportional to 437,748 and 958,537 is: 2,098,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,748 : 958,537 = 958,537 : x
  2. Step 2: Convert to fraction form
    437,748/958,537 = 958,537/x
  3. Step 3: Cross multiply
    437,748x = 958,537 × 958,537
  4. Step 4: Simplify right side
    437,748x = 918,793,180,369
  5. Step 5: Solve for x
    x = 918,793,180,369/437,748
  6. Step 6: Final answer
    x = 2,098,908.92

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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.