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Finding the Third Proportional to 478,628 and 1,044,184

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Solution

The third proportional to 478,628 and 1,044,184 is: 2,278,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,628 : 1,044,184 = 1,044,184 : x
  2. Step 2: Convert to fraction form
    478,628/1,044,184 = 1,044,184/x
  3. Step 3: Cross multiply
    478,628x = 1,044,184 × 1,044,184
  4. Step 4: Simplify right side
    478,628x = 1,090,320,225,856
  5. Step 5: Solve for x
    x = 1,090,320,225,856/478,628
  6. Step 6: Final answer
    x = 2,278,011.79

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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.