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Finding the Third Proportional to 460,049 and 1,001,098

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Solution

The third proportional to 460,049 and 1,001,098 is: 2,178,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,049 : 1,001,098 = 1,001,098 : x
  2. Step 2: Convert to fraction form
    460,049/1,001,098 = 1,001,098/x
  3. Step 3: Cross multiply
    460,049x = 1,001,098 × 1,001,098
  4. Step 4: Simplify right side
    460,049x = 1,002,197,205,604
  5. Step 5: Solve for x
    x = 1,002,197,205,604/460,049
  6. Step 6: Final answer
    x = 2,178,457.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.