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Finding the Third Proportional to 2,272,257.56 and 3,400,335.56

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Solution

The third proportional to 2,272,257.56 and 3,400,335.56 is: 5,088,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,257.56 : 3,400,335.56 = 3,400,335.56 : x
  2. Step 2: Convert to fraction form
    2,272,257.56/3,400,335.56 = 3,400,335.56/x
  3. Step 3: Cross multiply
    2,272,257.56x = 3,400,335.56 × 3,400,335.56
  4. Step 4: Simplify right side
    2,272,257.56x = 11,562,281,937,602.19
  5. Step 5: Solve for x
    x = 11,562,281,937,602.19/2,272,257.56
  6. Step 6: Final answer
    x = 5,088,455.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.