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Finding the Third Proportional to 1,371,029 and 2,970,873

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Solution

The third proportional to 1,371,029 and 2,970,873 is: 6,437,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,029 : 2,970,873 = 2,970,873 : x
  2. Step 2: Convert to fraction form
    1,371,029/2,970,873 = 2,970,873/x
  3. Step 3: Cross multiply
    1,371,029x = 2,970,873 × 2,970,873
  4. Step 4: Simplify right side
    1,371,029x = 8,826,086,382,129
  5. Step 5: Solve for x
    x = 8,826,086,382,129/1,371,029
  6. Step 6: Final answer
    x = 6,437,563.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.