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Finding the Third Proportional to 1,475,131.50 and 2,226,264.75

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Solution

The third proportional to 1,475,131.50 and 2,226,264.75 is: 3,359,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,131.50 : 2,226,264.75 = 2,226,264.75 : x
  2. Step 2: Convert to fraction form
    1,475,131.50/2,226,264.75 = 2,226,264.75/x
  3. Step 3: Cross multiply
    1,475,131.50x = 2,226,264.75 × 2,226,264.75
  4. Step 4: Simplify right side
    1,475,131.50x = 4,956,254,737,092.56
  5. Step 5: Solve for x
    x = 4,956,254,737,092.56/1,475,131.50
  6. Step 6: Final answer
    x = 3,359,873.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.