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Finding the Third Proportional to 2,897,964 and 6,366,816

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Solution

The third proportional to 2,897,964 and 6,366,816 is: 13,987,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,964 : 6,366,816 = 6,366,816 : x
  2. Step 2: Convert to fraction form
    2,897,964/6,366,816 = 6,366,816/x
  3. Step 3: Cross multiply
    2,897,964x = 6,366,816 × 6,366,816
  4. Step 4: Simplify right side
    2,897,964x = 40,536,345,977,856
  5. Step 5: Solve for x
    x = 40,536,345,977,856/2,897,964
  6. Step 6: Final answer
    x = 13,987,870.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.