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Finding the Third Proportional to 625,846.50 and 1,281,445.31

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Solution

The third proportional to 625,846.50 and 1,281,445.31 is: 2,623,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,846.50 : 1,281,445.31 = 1,281,445.31 : x
  2. Step 2: Convert to fraction form
    625,846.50/1,281,445.31 = 1,281,445.31/x
  3. Step 3: Cross multiply
    625,846.50x = 1,281,445.31 × 1,281,445.31
  4. Step 4: Simplify right side
    625,846.50x = 1,642,102,088,928.22
  5. Step 5: Solve for x
    x = 1,642,102,088,928.22/625,846.50
  6. Step 6: Final answer
    x = 2,623,809.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.