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Finding the Third Proportional to 1,175,889 and 2,575,987

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Solution

The third proportional to 1,175,889 and 2,575,987 is: 5,643,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,889 : 2,575,987 = 2,575,987 : x
  2. Step 2: Convert to fraction form
    1,175,889/2,575,987 = 2,575,987/x
  3. Step 3: Cross multiply
    1,175,889x = 2,575,987 × 2,575,987
  4. Step 4: Simplify right side
    1,175,889x = 6,635,709,024,169
  5. Step 5: Solve for x
    x = 6,635,709,024,169/1,175,889
  6. Step 6: Final answer
    x = 5,643,142.36

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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.