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Finding the Third Proportional to 788,694.47 and 1,287,748.13

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Solution

The third proportional to 788,694.47 and 1,287,748.13 is: 2,102,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,694.47 : 1,287,748.13 = 1,287,748.13 : x
  2. Step 2: Convert to fraction form
    788,694.47/1,287,748.13 = 1,287,748.13/x
  3. Step 3: Cross multiply
    788,694.47x = 1,287,748.13 × 1,287,748.13
  4. Step 4: Simplify right side
    788,694.47x = 1,658,295,233,441.02
  5. Step 5: Solve for x
    x = 1,658,295,233,441.02/788,694.47
  6. Step 6: Final answer
    x = 2,102,582.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.