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Finding the Third Proportional to 774,365.70 and 1,660,829.38

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Solution

The third proportional to 774,365.70 and 1,660,829.38 is: 3,562,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,365.70 : 1,660,829.38 = 1,660,829.38 : x
  2. Step 2: Convert to fraction form
    774,365.70/1,660,829.38 = 1,660,829.38/x
  3. Step 3: Cross multiply
    774,365.70x = 1,660,829.38 × 1,660,829.38
  4. Step 4: Simplify right side
    774,365.70x = 2,758,354,225,837.95
  5. Step 5: Solve for x
    x = 2,758,354,225,837.95/774,365.70
  6. Step 6: Final answer
    x = 3,562,082.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.