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Finding the Third Proportional to 811,390.50 and 1,735,345.69

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Solution

The third proportional to 811,390.50 and 1,735,345.69 is: 3,711,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,390.50 : 1,735,345.69 = 1,735,345.69 : x
  2. Step 2: Convert to fraction form
    811,390.50/1,735,345.69 = 1,735,345.69/x
  3. Step 3: Cross multiply
    811,390.50x = 1,735,345.69 × 1,735,345.69
  4. Step 4: Simplify right side
    811,390.50x = 3,011,424,655,124.85
  5. Step 5: Solve for x
    x = 3,011,424,655,124.85/811,390.50
  6. Step 6: Final answer
    x = 3,711,436.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.