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Finding the Third Proportional to 1,605,964 and 3,566,216

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Solution

The third proportional to 1,605,964 and 3,566,216 is: 7,919,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,964 : 3,566,216 = 3,566,216 : x
  2. Step 2: Convert to fraction form
    1,605,964/3,566,216 = 3,566,216/x
  3. Step 3: Cross multiply
    1,605,964x = 3,566,216 × 3,566,216
  4. Step 4: Simplify right side
    1,605,964x = 12,717,896,558,656
  5. Step 5: Solve for x
    x = 12,717,896,558,656/1,605,964
  6. Step 6: Final answer
    x = 7,919,166.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.