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Finding the Third Proportional to 672,947.63 and 1,034,366.63

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Solution

The third proportional to 672,947.63 and 1,034,366.63 is: 1,589,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,947.63 : 1,034,366.63 = 1,034,366.63 : x
  2. Step 2: Convert to fraction form
    672,947.63/1,034,366.63 = 1,034,366.63/x
  3. Step 3: Cross multiply
    672,947.63x = 1,034,366.63 × 1,034,366.63
  4. Step 4: Simplify right side
    672,947.63x = 1,069,914,314,913.89
  5. Step 5: Solve for x
    x = 1,069,914,314,913.89/672,947.63
  6. Step 6: Final answer
    x = 1,589,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.