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Finding the Third Proportional to 1,350,414 and 2,090,316

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Solution

The third proportional to 1,350,414 and 2,090,316 is: 3,235,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,414 : 2,090,316 = 2,090,316 : x
  2. Step 2: Convert to fraction form
    1,350,414/2,090,316 = 2,090,316/x
  3. Step 3: Cross multiply
    1,350,414x = 2,090,316 × 2,090,316
  4. Step 4: Simplify right side
    1,350,414x = 4,369,420,979,856
  5. Step 5: Solve for x
    x = 4,369,420,979,856/1,350,414
  6. Step 6: Final answer
    x = 3,235,615.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.