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Finding the Third Proportional to 2,264,234.50 and 3,425,566

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Solution

The third proportional to 2,264,234.50 and 3,425,566 is: 5,182,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,234.50 : 3,425,566 = 3,425,566 : x
  2. Step 2: Convert to fraction form
    2,264,234.50/3,425,566 = 3,425,566/x
  3. Step 3: Cross multiply
    2,264,234.50x = 3,425,566 × 3,425,566
  4. Step 4: Simplify right side
    2,264,234.50x = 11,734,502,420,356
  5. Step 5: Solve for x
    x = 11,734,502,420,356/2,264,234.50
  6. Step 6: Final answer
    x = 5,182,547.31

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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.