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Finding the Third Proportional to 704,768 and 1,548,928

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Solution

The third proportional to 704,768 and 1,548,928 is: 3,404,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,768 : 1,548,928 = 1,548,928 : x
  2. Step 2: Convert to fraction form
    704,768/1,548,928 = 1,548,928/x
  3. Step 3: Cross multiply
    704,768x = 1,548,928 × 1,548,928
  4. Step 4: Simplify right side
    704,768x = 2,399,177,949,184
  5. Step 5: Solve for x
    x = 2,399,177,949,184/704,768
  6. Step 6: Final answer
    x = 3,404,209.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.