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Finding the Third Proportional to 461,872 and 1,079,142

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Solution

The third proportional to 461,872 and 1,079,142 is: 2,521,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,872 : 1,079,142 = 1,079,142 : x
  2. Step 2: Convert to fraction form
    461,872/1,079,142 = 1,079,142/x
  3. Step 3: Cross multiply
    461,872x = 1,079,142 × 1,079,142
  4. Step 4: Simplify right side
    461,872x = 1,164,547,456,164
  5. Step 5: Solve for x
    x = 1,164,547,456,164/461,872
  6. Step 6: Final answer
    x = 2,521,364.05

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.