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Finding the Third Proportional to 840,057 and 1,843,410

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Solution

The third proportional to 840,057 and 1,843,410 is: 4,045,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,057 : 1,843,410 = 1,843,410 : x
  2. Step 2: Convert to fraction form
    840,057/1,843,410 = 1,843,410/x
  3. Step 3: Cross multiply
    840,057x = 1,843,410 × 1,843,410
  4. Step 4: Simplify right side
    840,057x = 3,398,160,428,100
  5. Step 5: Solve for x
    x = 3,398,160,428,100/840,057
  6. Step 6: Final answer
    x = 4,045,154.59

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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.