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Finding the Third Proportional to 1,416,844 and 3,057,584

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Solution

The third proportional to 1,416,844 and 3,057,584 is: 6,598,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,844 : 3,057,584 = 3,057,584 : x
  2. Step 2: Convert to fraction form
    1,416,844/3,057,584 = 3,057,584/x
  3. Step 3: Cross multiply
    1,416,844x = 3,057,584 × 3,057,584
  4. Step 4: Simplify right side
    1,416,844x = 9,348,819,917,056
  5. Step 5: Solve for x
    x = 9,348,819,917,056/1,416,844
  6. Step 6: Final answer
    x = 6,598,341.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.