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Finding the Third Proportional to 772,773.75 and 1,674,253.13

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Solution

The third proportional to 772,773.75 and 1,674,253.13 is: 3,627,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,773.75 : 1,674,253.13 = 1,674,253.13 : x
  2. Step 2: Convert to fraction form
    772,773.75/1,674,253.13 = 1,674,253.13/x
  3. Step 3: Cross multiply
    772,773.75x = 1,674,253.13 × 1,674,253.13
  4. Step 4: Simplify right side
    772,773.75x = 2,803,123,526,572.27
  5. Step 5: Solve for x
    x = 2,803,123,526,572.27/772,773.75
  6. Step 6: Final answer
    x = 3,627,353.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.