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Finding the Third Proportional to 2,149,712 and 4,686,496

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Solution

The third proportional to 2,149,712 and 4,686,496 is: 10,216,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149,712 : 4,686,496 = 4,686,496 : x
  2. Step 2: Convert to fraction form
    2,149,712/4,686,496 = 4,686,496/x
  3. Step 3: Cross multiply
    2,149,712x = 4,686,496 × 4,686,496
  4. Step 4: Simplify right side
    2,149,712x = 21,963,244,758,016
  5. Step 5: Solve for x
    x = 21,963,244,758,016/2,149,712
  6. Step 6: Final answer
    x = 10,216,831.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.