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Finding the Third Proportional to 828,605 and 1,254,116

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Solution

The third proportional to 828,605 and 1,254,116 is: 1,898,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,605 : 1,254,116 = 1,254,116 : x
  2. Step 2: Convert to fraction form
    828,605/1,254,116 = 1,254,116/x
  3. Step 3: Cross multiply
    828,605x = 1,254,116 × 1,254,116
  4. Step 4: Simplify right side
    828,605x = 1,572,806,941,456
  5. Step 5: Solve for x
    x = 1,572,806,941,456/828,605
  6. Step 6: Final answer
    x = 1,898,138.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.