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Finding the Third Proportional to 587,468 and 1,286,878

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Solution

The third proportional to 587,468 and 1,286,878 is: 2,818,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,468 : 1,286,878 = 1,286,878 : x
  2. Step 2: Convert to fraction form
    587,468/1,286,878 = 1,286,878/x
  3. Step 3: Cross multiply
    587,468x = 1,286,878 × 1,286,878
  4. Step 4: Simplify right side
    587,468x = 1,656,054,986,884
  5. Step 5: Solve for x
    x = 1,656,054,986,884/587,468
  6. Step 6: Final answer
    x = 2,818,970.54

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