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Finding the Third Proportional to 425,537 and 918,321

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Solution

The third proportional to 425,537 and 918,321 is: 1,981,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,537 : 918,321 = 918,321 : x
  2. Step 2: Convert to fraction form
    425,537/918,321 = 918,321/x
  3. Step 3: Cross multiply
    425,537x = 918,321 × 918,321
  4. Step 4: Simplify right side
    425,537x = 843,313,459,041
  5. Step 5: Solve for x
    x = 843,313,459,041/425,537
  6. Step 6: Final answer
    x = 1,981,762.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.