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Finding the Third Proportional to 1,987,784 and 2,648,364

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Solution

The third proportional to 1,987,784 and 2,648,364 is: 3,528,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,784 : 2,648,364 = 2,648,364 : x
  2. Step 2: Convert to fraction form
    1,987,784/2,648,364 = 2,648,364/x
  3. Step 3: Cross multiply
    1,987,784x = 2,648,364 × 2,648,364
  4. Step 4: Simplify right side
    1,987,784x = 7,013,831,876,496
  5. Step 5: Solve for x
    x = 7,013,831,876,496/1,987,784
  6. Step 6: Final answer
    x = 3,528,467.82

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.