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Finding the Third Proportional to 2,101,982 and 4,596,571

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Solution

The third proportional to 2,101,982 and 4,596,571 is: 10,051,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,982 : 4,596,571 = 4,596,571 : x
  2. Step 2: Convert to fraction form
    2,101,982/4,596,571 = 4,596,571/x
  3. Step 3: Cross multiply
    2,101,982x = 4,596,571 × 4,596,571
  4. Step 4: Simplify right side
    2,101,982x = 21,128,464,958,041
  5. Step 5: Solve for x
    x = 21,128,464,958,041/2,101,982
  6. Step 6: Final answer
    x = 10,051,686.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.