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Finding the Third Proportional to 1,214,523 and 2,615,882

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Solution

The third proportional to 1,214,523 and 2,615,882 is: 5,634,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,523 : 2,615,882 = 2,615,882 : x
  2. Step 2: Convert to fraction form
    1,214,523/2,615,882 = 2,615,882/x
  3. Step 3: Cross multiply
    1,214,523x = 2,615,882 × 2,615,882
  4. Step 4: Simplify right side
    1,214,523x = 6,842,838,637,924
  5. Step 5: Solve for x
    x = 6,842,838,637,924/1,214,523
  6. Step 6: Final answer
    x = 5,634,177.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.