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Finding the Third Proportional to 788,269.85 and 1,707,281.93

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Solution

The third proportional to 788,269.85 and 1,707,281.93 is: 3,697,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,269.85 : 1,707,281.93 = 1,707,281.93 : x
  2. Step 2: Convert to fraction form
    788,269.85/1,707,281.93 = 1,707,281.93/x
  3. Step 3: Cross multiply
    788,269.85x = 1,707,281.93 × 1,707,281.93
  4. Step 4: Simplify right side
    788,269.85x = 2,914,811,587,437.47
  5. Step 5: Solve for x
    x = 2,914,811,587,437.47/788,269.85
  6. Step 6: Final answer
    x = 3,697,733.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.