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Finding the Third Proportional to 1,652,775.89 and 2,340,767.74

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Solution

The third proportional to 1,652,775.89 and 2,340,767.74 is: 3,315,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,775.89 : 2,340,767.74 = 2,340,767.74 : x
  2. Step 2: Convert to fraction form
    1,652,775.89/2,340,767.74 = 2,340,767.74/x
  3. Step 3: Cross multiply
    1,652,775.89x = 2,340,767.74 × 2,340,767.74
  4. Step 4: Simplify right side
    1,652,775.89x = 5,479,193,622,865.57
  5. Step 5: Solve for x
    x = 5,479,193,622,865.57/1,652,775.89
  6. Step 6: Final answer
    x = 3,315,146.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.