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Finding the Third Proportional to 787,448 and 1,686,428

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Solution

The third proportional to 787,448 and 1,686,428 is: 3,611,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,448 : 1,686,428 = 1,686,428 : x
  2. Step 2: Convert to fraction form
    787,448/1,686,428 = 1,686,428/x
  3. Step 3: Cross multiply
    787,448x = 1,686,428 × 1,686,428
  4. Step 4: Simplify right side
    787,448x = 2,844,039,399,184
  5. Step 5: Solve for x
    x = 2,844,039,399,184/787,448
  6. Step 6: Final answer
    x = 3,611,717.09

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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.