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Finding the Third Proportional to 828,629 and 1,254,146

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Solution

The third proportional to 828,629 and 1,254,146 is: 1,898,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,629 : 1,254,146 = 1,254,146 : x
  2. Step 2: Convert to fraction form
    828,629/1,254,146 = 1,254,146/x
  3. Step 3: Cross multiply
    828,629x = 1,254,146 × 1,254,146
  4. Step 4: Simplify right side
    828,629x = 1,572,882,189,316
  5. Step 5: Solve for x
    x = 1,572,882,189,316/828,629
  6. Step 6: Final answer
    x = 1,898,174.20

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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.