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Finding the Third Proportional to 4,022,210 and 5,626,287

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Solution

The third proportional to 4,022,210 and 5,626,287 is: 7,870,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,210 : 5,626,287 = 5,626,287 : x
  2. Step 2: Convert to fraction form
    4,022,210/5,626,287 = 5,626,287/x
  3. Step 3: Cross multiply
    4,022,210x = 5,626,287 × 5,626,287
  4. Step 4: Simplify right side
    4,022,210x = 31,655,105,406,369
  5. Step 5: Solve for x
    x = 31,655,105,406,369/4,022,210
  6. Step 6: Final answer
    x = 7,870,077.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.