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Finding the Third Proportional to 502,788 and 1,094,184

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Solution

The third proportional to 502,788 and 1,094,184 is: 2,381,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,788 : 1,094,184 = 1,094,184 : x
  2. Step 2: Convert to fraction form
    502,788/1,094,184 = 1,094,184/x
  3. Step 3: Cross multiply
    502,788x = 1,094,184 × 1,094,184
  4. Step 4: Simplify right side
    502,788x = 1,197,238,625,856
  5. Step 5: Solve for x
    x = 1,197,238,625,856/502,788
  6. Step 6: Final answer
    x = 2,381,199.68

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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.