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Finding the Third Proportional to 477,221 and 1,029,163

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Solution

The third proportional to 477,221 and 1,029,163 is: 2,219,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,221 : 1,029,163 = 1,029,163 : x
  2. Step 2: Convert to fraction form
    477,221/1,029,163 = 1,029,163/x
  3. Step 3: Cross multiply
    477,221x = 1,029,163 × 1,029,163
  4. Step 4: Simplify right side
    477,221x = 1,059,176,480,569
  5. Step 5: Solve for x
    x = 1,059,176,480,569/477,221
  6. Step 6: Final answer
    x = 2,219,467.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.