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Finding the Third Proportional to 1,005,444 and 2,154,816

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Solution

The third proportional to 1,005,444 and 2,154,816 is: 4,618,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,444 : 2,154,816 = 2,154,816 : x
  2. Step 2: Convert to fraction form
    1,005,444/2,154,816 = 2,154,816/x
  3. Step 3: Cross multiply
    1,005,444x = 2,154,816 × 2,154,816
  4. Step 4: Simplify right side
    1,005,444x = 4,643,231,993,856
  5. Step 5: Solve for x
    x = 4,643,231,993,856/1,005,444
  6. Step 6: Final answer
    x = 4,618,091.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.