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Finding the Third Proportional to 494,265 and 1,079,142

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Solution

The third proportional to 494,265 and 1,079,142 is: 2,356,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,265 : 1,079,142 = 1,079,142 : x
  2. Step 2: Convert to fraction form
    494,265/1,079,142 = 1,079,142/x
  3. Step 3: Cross multiply
    494,265x = 1,079,142 × 1,079,142
  4. Step 4: Simplify right side
    494,265x = 1,164,547,456,164
  5. Step 5: Solve for x
    x = 1,164,547,456,164/494,265
  6. Step 6: Final answer
    x = 2,356,119.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.