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Finding the Third Proportional to 784,638.56 and 1,663,449.75

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Solution

The third proportional to 784,638.56 and 1,663,449.75 is: 3,526,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,638.56 : 1,663,449.75 = 1,663,449.75 : x
  2. Step 2: Convert to fraction form
    784,638.56/1,663,449.75 = 1,663,449.75/x
  3. Step 3: Cross multiply
    784,638.56x = 1,663,449.75 × 1,663,449.75
  4. Step 4: Simplify right side
    784,638.56x = 2,767,065,070,775.06
  5. Step 5: Solve for x
    x = 2,767,065,070,775.06/784,638.56
  6. Step 6: Final answer
    x = 3,526,547.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.