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Finding the Third Proportional to 753,689.81 and 1,642,669.88

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Solution

The third proportional to 753,689.81 and 1,642,669.88 is: 3,580,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,689.81 : 1,642,669.88 = 1,642,669.88 : x
  2. Step 2: Convert to fraction form
    753,689.81/1,642,669.88 = 1,642,669.88/x
  3. Step 3: Cross multiply
    753,689.81x = 1,642,669.88 × 1,642,669.88
  4. Step 4: Simplify right side
    753,689.81x = 2,698,364,318,232.52
  5. Step 5: Solve for x
    x = 2,698,364,318,232.52/753,689.81
  6. Step 6: Final answer
    x = 3,580,205.38

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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.