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Finding the Third Proportional to 1,178,642 and 2,573,184

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Solution

The third proportional to 1,178,642 and 2,573,184 is: 5,617,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,642 : 2,573,184 = 2,573,184 : x
  2. Step 2: Convert to fraction form
    1,178,642/2,573,184 = 2,573,184/x
  3. Step 3: Cross multiply
    1,178,642x = 2,573,184 × 2,573,184
  4. Step 4: Simplify right side
    1,178,642x = 6,621,275,897,856
  5. Step 5: Solve for x
    x = 6,621,275,897,856/1,178,642
  6. Step 6: Final answer
    x = 5,617,715.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.