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Finding the Third Proportional to 1,714,564 and 3,665,336

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Solution

The third proportional to 1,714,564 and 3,665,336 is: 7,835,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,564 : 3,665,336 = 3,665,336 : x
  2. Step 2: Convert to fraction form
    1,714,564/3,665,336 = 3,665,336/x
  3. Step 3: Cross multiply
    1,714,564x = 3,665,336 × 3,665,336
  4. Step 4: Simplify right side
    1,714,564x = 13,434,687,992,896
  5. Step 5: Solve for x
    x = 13,434,687,992,896/1,714,564
  6. Step 6: Final answer
    x = 7,835,629.35

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