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Finding the Third Proportional to 747,078 and 1,117,977

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Solution

The third proportional to 747,078 and 1,117,977 is: 1,673,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,078 : 1,117,977 = 1,117,977 : x
  2. Step 2: Convert to fraction form
    747,078/1,117,977 = 1,117,977/x
  3. Step 3: Cross multiply
    747,078x = 1,117,977 × 1,117,977
  4. Step 4: Simplify right side
    747,078x = 1,249,872,572,529
  5. Step 5: Solve for x
    x = 1,249,872,572,529/747,078
  6. Step 6: Final answer
    x = 1,673,014.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.