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Finding the Third Proportional to 703,750.78 and 1,536,518.11

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Solution

The third proportional to 703,750.78 and 1,536,518.11 is: 3,354,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,750.78 : 1,536,518.11 = 1,536,518.11 : x
  2. Step 2: Convert to fraction form
    703,750.78/1,536,518.11 = 1,536,518.11/x
  3. Step 3: Cross multiply
    703,750.78x = 1,536,518.11 × 1,536,518.11
  4. Step 4: Simplify right side
    703,750.78x = 2,360,887,900,437.32
  5. Step 5: Solve for x
    x = 2,360,887,900,437.32/703,750.78
  6. Step 6: Final answer
    x = 3,354,721.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.