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Finding the Third Proportional to 1,312,216 and 2,142,714

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Solution

The third proportional to 1,312,216 and 2,142,714 is: 3,498,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,216 : 2,142,714 = 2,142,714 : x
  2. Step 2: Convert to fraction form
    1,312,216/2,142,714 = 2,142,714/x
  3. Step 3: Cross multiply
    1,312,216x = 2,142,714 × 2,142,714
  4. Step 4: Simplify right side
    1,312,216x = 4,591,223,285,796
  5. Step 5: Solve for x
    x = 4,591,223,285,796/1,312,216
  6. Step 6: Final answer
    x = 3,498,831.97

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.