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Finding the Third Proportional to 1,872,120 and 3,650,928

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Solution

The third proportional to 1,872,120 and 3,650,928 is: 7,119,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,120 : 3,650,928 = 3,650,928 : x
  2. Step 2: Convert to fraction form
    1,872,120/3,650,928 = 3,650,928/x
  3. Step 3: Cross multiply
    1,872,120x = 3,650,928 × 3,650,928
  4. Step 4: Simplify right side
    1,872,120x = 13,329,275,261,184
  5. Step 5: Solve for x
    x = 13,329,275,261,184/1,872,120
  6. Step 6: Final answer
    x = 7,119,882.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.