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Finding the Third Proportional to 2,072,338 and 4,459,602

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Solution

The third proportional to 2,072,338 and 4,459,602 is: 9,596,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,338 : 4,459,602 = 4,459,602 : x
  2. Step 2: Convert to fraction form
    2,072,338/4,459,602 = 4,459,602/x
  3. Step 3: Cross multiply
    2,072,338x = 4,459,602 × 4,459,602
  4. Step 4: Simplify right side
    2,072,338x = 19,888,049,998,404
  5. Step 5: Solve for x
    x = 19,888,049,998,404/2,072,338
  6. Step 6: Final answer
    x = 9,596,914.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.