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Finding the Third Proportional to 2,986,368 and 4,611,571

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Solution

The third proportional to 2,986,368 and 4,611,571 is: 7,121,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,368 : 4,611,571 = 4,611,571 : x
  2. Step 2: Convert to fraction form
    2,986,368/4,611,571 = 4,611,571/x
  3. Step 3: Cross multiply
    2,986,368x = 4,611,571 × 4,611,571
  4. Step 4: Simplify right side
    2,986,368x = 21,266,587,088,041
  5. Step 5: Solve for x
    x = 21,266,587,088,041/2,986,368
  6. Step 6: Final answer
    x = 7,121,221.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.