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Finding the Third Proportional to 1,175,892.75 and 2,575,989

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Solution

The third proportional to 1,175,892.75 and 2,575,989 is: 5,643,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,892.75 : 2,575,989 = 2,575,989 : x
  2. Step 2: Convert to fraction form
    1,175,892.75/2,575,989 = 2,575,989/x
  3. Step 3: Cross multiply
    1,175,892.75x = 2,575,989 × 2,575,989
  4. Step 4: Simplify right side
    1,175,892.75x = 6,635,719,328,121
  5. Step 5: Solve for x
    x = 6,635,719,328,121/1,175,892.75
  6. Step 6: Final answer
    x = 5,643,133.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.