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Finding the Third Proportional to 772,862.25 and 1,648,437

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Solution

The third proportional to 772,862.25 and 1,648,437 is: 3,515,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,862.25 : 1,648,437 = 1,648,437 : x
  2. Step 2: Convert to fraction form
    772,862.25/1,648,437 = 1,648,437/x
  3. Step 3: Cross multiply
    772,862.25x = 1,648,437 × 1,648,437
  4. Step 4: Simplify right side
    772,862.25x = 2,717,344,542,969
  5. Step 5: Solve for x
    x = 2,717,344,542,969/772,862.25
  6. Step 6: Final answer
    x = 3,515,949.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.