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Finding the Third Proportional to 1,030,876 and 2,132,462

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Solution

The third proportional to 1,030,876 and 2,132,462 is: 4,411,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,876 : 2,132,462 = 2,132,462 : x
  2. Step 2: Convert to fraction form
    1,030,876/2,132,462 = 2,132,462/x
  3. Step 3: Cross multiply
    1,030,876x = 2,132,462 × 2,132,462
  4. Step 4: Simplify right side
    1,030,876x = 4,547,394,181,444
  5. Step 5: Solve for x
    x = 4,547,394,181,444/1,030,876
  6. Step 6: Final answer
    x = 4,411,194.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.