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Finding the Third Proportional to 1,312,914 and 2,826,711

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Solution

The third proportional to 1,312,914 and 2,826,711 is: 6,085,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,914 : 2,826,711 = 2,826,711 : x
  2. Step 2: Convert to fraction form
    1,312,914/2,826,711 = 2,826,711/x
  3. Step 3: Cross multiply
    1,312,914x = 2,826,711 × 2,826,711
  4. Step 4: Simplify right side
    1,312,914x = 7,990,295,077,521
  5. Step 5: Solve for x
    x = 7,990,295,077,521/1,312,914
  6. Step 6: Final answer
    x = 6,085,924.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.