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Finding the Third Proportional to 774,977 and 1,642,145.50

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Solution

The third proportional to 774,977 and 1,642,145.50 is: 3,479,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,977 : 1,642,145.50 = 1,642,145.50 : x
  2. Step 2: Convert to fraction form
    774,977/1,642,145.50 = 1,642,145.50/x
  3. Step 3: Cross multiply
    774,977x = 1,642,145.50 × 1,642,145.50
  4. Step 4: Simplify right side
    774,977x = 2,696,641,843,170.25
  5. Step 5: Solve for x
    x = 2,696,641,843,170.25/774,977
  6. Step 6: Final answer
    x = 3,479,641.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.