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Finding the Third Proportional to 1,464,029 and 2,187,423

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Solution

The third proportional to 1,464,029 and 2,187,423 is: 3,268,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,029 : 2,187,423 = 2,187,423 : x
  2. Step 2: Convert to fraction form
    1,464,029/2,187,423 = 2,187,423/x
  3. Step 3: Cross multiply
    1,464,029x = 2,187,423 × 2,187,423
  4. Step 4: Simplify right side
    1,464,029x = 4,784,819,380,929
  5. Step 5: Solve for x
    x = 4,784,819,380,929/1,464,029
  6. Step 6: Final answer
    x = 3,268,254.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.