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Finding the Third Proportional to 807,302.95 and 1,300,763.81

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Solution

The third proportional to 807,302.95 and 1,300,763.81 is: 2,095,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,302.95 : 1,300,763.81 = 1,300,763.81 : x
  2. Step 2: Convert to fraction form
    807,302.95/1,300,763.81 = 1,300,763.81/x
  3. Step 3: Cross multiply
    807,302.95x = 1,300,763.81 × 1,300,763.81
  4. Step 4: Simplify right side
    807,302.95x = 1,691,986,495,909.54
  5. Step 5: Solve for x
    x = 1,691,986,495,909.54/807,302.95
  6. Step 6: Final answer
    x = 2,095,850.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.