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Finding the Third Proportional to 1,300,712 and 2,782,216

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Solution

The third proportional to 1,300,712 and 2,782,216 is: 5,951,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,712 : 2,782,216 = 2,782,216 : x
  2. Step 2: Convert to fraction form
    1,300,712/2,782,216 = 2,782,216/x
  3. Step 3: Cross multiply
    1,300,712x = 2,782,216 × 2,782,216
  4. Step 4: Simplify right side
    1,300,712x = 7,740,725,870,656
  5. Step 5: Solve for x
    x = 7,740,725,870,656/1,300,712
  6. Step 6: Final answer
    x = 5,951,145.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.