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Finding the Third Proportional to 1,919,414 and 4,200,412

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Solution

The third proportional to 1,919,414 and 4,200,412 is: 9,192,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,414 : 4,200,412 = 4,200,412 : x
  2. Step 2: Convert to fraction form
    1,919,414/4,200,412 = 4,200,412/x
  3. Step 3: Cross multiply
    1,919,414x = 4,200,412 × 4,200,412
  4. Step 4: Simplify right side
    1,919,414x = 17,643,460,969,744
  5. Step 5: Solve for x
    x = 17,643,460,969,744/1,919,414
  6. Step 6: Final answer
    x = 9,192,108.10

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Why These Related Problems?

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