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Finding the Third Proportional to 514,190 and 1,053,436

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Solution

The third proportional to 514,190 and 1,053,436 is: 2,158,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,190 : 1,053,436 = 1,053,436 : x
  2. Step 2: Convert to fraction form
    514,190/1,053,436 = 1,053,436/x
  3. Step 3: Cross multiply
    514,190x = 1,053,436 × 1,053,436
  4. Step 4: Simplify right side
    514,190x = 1,109,727,406,096
  5. Step 5: Solve for x
    x = 1,109,727,406,096/514,190
  6. Step 6: Final answer
    x = 2,158,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.