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Finding the Third Proportional to 1,296,508.49 and 1,873,069.61

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Solution

The third proportional to 1,296,508.49 and 1,873,069.61 is: 2,706,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,508.49 : 1,873,069.61 = 1,873,069.61 : x
  2. Step 2: Convert to fraction form
    1,296,508.49/1,873,069.61 = 1,873,069.61/x
  3. Step 3: Cross multiply
    1,296,508.49x = 1,873,069.61 × 1,873,069.61
  4. Step 4: Simplify right side
    1,296,508.49x = 3,508,389,746,931.05
  5. Step 5: Solve for x
    x = 3,508,389,746,931.05/1,296,508.49
  6. Step 6: Final answer
    x = 2,706,029.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.