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Finding the Third Proportional to 460,838.50 and 1,002,459

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Solution

The third proportional to 460,838.50 and 1,002,459 is: 2,180,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,838.50 : 1,002,459 = 1,002,459 : x
  2. Step 2: Convert to fraction form
    460,838.50/1,002,459 = 1,002,459/x
  3. Step 3: Cross multiply
    460,838.50x = 1,002,459 × 1,002,459
  4. Step 4: Simplify right side
    460,838.50x = 1,004,924,046,681
  5. Step 5: Solve for x
    x = 1,004,924,046,681/460,838.50
  6. Step 6: Final answer
    x = 2,180,642.56

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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.