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Finding the Third Proportional to 1,538,624 and 3,561,637

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Solution

The third proportional to 1,538,624 and 3,561,637 is: 8,244,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,624 : 3,561,637 = 3,561,637 : x
  2. Step 2: Convert to fraction form
    1,538,624/3,561,637 = 3,561,637/x
  3. Step 3: Cross multiply
    1,538,624x = 3,561,637 × 3,561,637
  4. Step 4: Simplify right side
    1,538,624x = 12,685,258,119,769
  5. Step 5: Solve for x
    x = 12,685,258,119,769/1,538,624
  6. Step 6: Final answer
    x = 8,244,547.15

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.