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Finding the Third Proportional to 1,298,033 and 2,840,764

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Solution

The third proportional to 1,298,033 and 2,840,764 is: 6,217,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,033 : 2,840,764 = 2,840,764 : x
  2. Step 2: Convert to fraction form
    1,298,033/2,840,764 = 2,840,764/x
  3. Step 3: Cross multiply
    1,298,033x = 2,840,764 × 2,840,764
  4. Step 4: Simplify right side
    1,298,033x = 8,069,940,103,696
  5. Step 5: Solve for x
    x = 8,069,940,103,696/1,298,033
  6. Step 6: Final answer
    x = 6,217,053.11

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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.