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Finding the Third Proportional to 782,353.69 and 1,249,278.19

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Solution

The third proportional to 782,353.69 and 1,249,278.19 is: 1,994,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,353.69 : 1,249,278.19 = 1,249,278.19 : x
  2. Step 2: Convert to fraction form
    782,353.69/1,249,278.19 = 1,249,278.19/x
  3. Step 3: Cross multiply
    782,353.69x = 1,249,278.19 × 1,249,278.19
  4. Step 4: Simplify right side
    782,353.69x = 1,560,695,989,763.29
  5. Step 5: Solve for x
    x = 1,560,695,989,763.29/782,353.69
  6. Step 6: Final answer
    x = 1,994,872.67

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.