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Finding the Third Proportional to 664,426.55 and 1,030,779.42

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Solution

The third proportional to 664,426.55 and 1,030,779.42 is: 1,599,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,426.55 : 1,030,779.42 = 1,030,779.42 : x
  2. Step 2: Convert to fraction form
    664,426.55/1,030,779.42 = 1,030,779.42/x
  3. Step 3: Cross multiply
    664,426.55x = 1,030,779.42 × 1,030,779.42
  4. Step 4: Simplify right side
    664,426.55x = 1,062,506,216,560.96
  5. Step 5: Solve for x
    x = 1,062,506,216,560.96/664,426.55
  6. Step 6: Final answer
    x = 1,599,132.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.