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Finding the Third Proportional to 747,080 and 1,117,980

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Solution

The third proportional to 747,080 and 1,117,980 is: 1,673,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,080 : 1,117,980 = 1,117,980 : x
  2. Step 2: Convert to fraction form
    747,080/1,117,980 = 1,117,980/x
  3. Step 3: Cross multiply
    747,080x = 1,117,980 × 1,117,980
  4. Step 4: Simplify right side
    747,080x = 1,249,879,280,400
  5. Step 5: Solve for x
    x = 1,249,879,280,400/747,080
  6. Step 6: Final answer
    x = 1,673,019.33

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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.