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Finding the Third Proportional to 807,582 and 1,251,075

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Solution

The third proportional to 807,582 and 1,251,075 is: 1,938,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,582 : 1,251,075 = 1,251,075 : x
  2. Step 2: Convert to fraction form
    807,582/1,251,075 = 1,251,075/x
  3. Step 3: Cross multiply
    807,582x = 1,251,075 × 1,251,075
  4. Step 4: Simplify right side
    807,582x = 1,565,188,655,625
  5. Step 5: Solve for x
    x = 1,565,188,655,625/807,582
  6. Step 6: Final answer
    x = 1,938,117.31

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