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Finding the Third Proportional to 1,347,012.28 and 2,034,513.70

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Solution

The third proportional to 1,347,012.28 and 2,034,513.70 is: 3,072,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,012.28 : 2,034,513.70 = 2,034,513.70 : x
  2. Step 2: Convert to fraction form
    1,347,012.28/2,034,513.70 = 2,034,513.70/x
  3. Step 3: Cross multiply
    1,347,012.28x = 2,034,513.70 × 2,034,513.70
  4. Step 4: Simplify right side
    1,347,012.28x = 4,139,246,008,203.40
  5. Step 5: Solve for x
    x = 4,139,246,008,203.40/1,347,012.28
  6. Step 6: Final answer
    x = 3,072,908.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.