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Finding the Third Proportional to 1,298,029 and 2,840,756

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Solution

The third proportional to 1,298,029 and 2,840,756 is: 6,217,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,029 : 2,840,756 = 2,840,756 : x
  2. Step 2: Convert to fraction form
    1,298,029/2,840,756 = 2,840,756/x
  3. Step 3: Cross multiply
    1,298,029x = 2,840,756 × 2,840,756
  4. Step 4: Simplify right side
    1,298,029x = 8,069,894,651,536
  5. Step 5: Solve for x
    x = 8,069,894,651,536/1,298,029
  6. Step 6: Final answer
    x = 6,217,037.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.