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Finding the Third Proportional to 1,683,348 and 2,611,865

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Solution

The third proportional to 1,683,348 and 2,611,865 is: 4,052,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,348 : 2,611,865 = 2,611,865 : x
  2. Step 2: Convert to fraction form
    1,683,348/2,611,865 = 2,611,865/x
  3. Step 3: Cross multiply
    1,683,348x = 2,611,865 × 2,611,865
  4. Step 4: Simplify right side
    1,683,348x = 6,821,838,778,225
  5. Step 5: Solve for x
    x = 6,821,838,778,225/1,683,348
  6. Step 6: Final answer
    x = 4,052,542.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.