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Finding the Third Proportional to 514,299 and 1,053,654

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Solution

The third proportional to 514,299 and 1,053,654 is: 2,158,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,299 : 1,053,654 = 1,053,654 : x
  2. Step 2: Convert to fraction form
    514,299/1,053,654 = 1,053,654/x
  3. Step 3: Cross multiply
    514,299x = 1,053,654 × 1,053,654
  4. Step 4: Simplify right side
    514,299x = 1,110,186,751,716
  5. Step 5: Solve for x
    x = 1,110,186,751,716/514,299
  6. Step 6: Final answer
    x = 2,158,640.70

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