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Finding the Third Proportional to 1,970,347 and 4,244,647

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Solution

The third proportional to 1,970,347 and 4,244,647 is: 9,144,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,347 : 4,244,647 = 4,244,647 : x
  2. Step 2: Convert to fraction form
    1,970,347/4,244,647 = 4,244,647/x
  3. Step 3: Cross multiply
    1,970,347x = 4,244,647 × 4,244,647
  4. Step 4: Simplify right side
    1,970,347x = 18,017,028,154,609
  5. Step 5: Solve for x
    x = 18,017,028,154,609/1,970,347
  6. Step 6: Final answer
    x = 9,144,088.91

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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.