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Finding the Third Proportional to 774,114.47 and 1,138,356.28

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Solution

The third proportional to 774,114.47 and 1,138,356.28 is: 1,673,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,114.47 : 1,138,356.28 = 1,138,356.28 : x
  2. Step 2: Convert to fraction form
    774,114.47/1,138,356.28 = 1,138,356.28/x
  3. Step 3: Cross multiply
    774,114.47x = 1,138,356.28 × 1,138,356.28
  4. Step 4: Simplify right side
    774,114.47x = 1,295,855,023,061.33
  5. Step 5: Solve for x
    x = 1,295,855,023,061.33/774,114.47
  6. Step 6: Final answer
    x = 1,673,983.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.