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Finding the Third Proportional to 787,539 and 1,190,705

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Solution

The third proportional to 787,539 and 1,190,705 is: 1,800,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,539 : 1,190,705 = 1,190,705 : x
  2. Step 2: Convert to fraction form
    787,539/1,190,705 = 1,190,705/x
  3. Step 3: Cross multiply
    787,539x = 1,190,705 × 1,190,705
  4. Step 4: Simplify right side
    787,539x = 1,417,778,397,025
  5. Step 5: Solve for x
    x = 1,417,778,397,025/787,539
  6. Step 6: Final answer
    x = 1,800,264.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.