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Finding the Third Proportional to 605,220 and 910,443

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Solution

The third proportional to 605,220 and 910,443 is: 1,369,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,220 : 910,443 = 910,443 : x
  2. Step 2: Convert to fraction form
    605,220/910,443 = 910,443/x
  3. Step 3: Cross multiply
    605,220x = 910,443 × 910,443
  4. Step 4: Simplify right side
    605,220x = 828,906,456,249
  5. Step 5: Solve for x
    x = 828,906,456,249/605,220
  6. Step 6: Final answer
    x = 1,369,595.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.