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Finding the Third Proportional to 467,151 and 1,021,545

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Solution

The third proportional to 467,151 and 1,021,545 is: 2,233,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,151 : 1,021,545 = 1,021,545 : x
  2. Step 2: Convert to fraction form
    467,151/1,021,545 = 1,021,545/x
  3. Step 3: Cross multiply
    467,151x = 1,021,545 × 1,021,545
  4. Step 4: Simplify right side
    467,151x = 1,043,554,187,025
  5. Step 5: Solve for x
    x = 1,043,554,187,025/467,151
  6. Step 6: Final answer
    x = 2,233,869.11

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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.