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Finding the Third Proportional to 847,267.31 and 1,290,753.56

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Solution

The third proportional to 847,267.31 and 1,290,753.56 is: 1,966,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,267.31 : 1,290,753.56 = 1,290,753.56 : x
  2. Step 2: Convert to fraction form
    847,267.31/1,290,753.56 = 1,290,753.56/x
  3. Step 3: Cross multiply
    847,267.31x = 1,290,753.56 × 1,290,753.56
  4. Step 4: Simplify right side
    847,267.31x = 1,666,044,759,106.44
  5. Step 5: Solve for x
    x = 1,666,044,759,106.44/847,267.31
  6. Step 6: Final answer
    x = 1,966,374.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.