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Finding the Third Proportional to 2,160,288 and 4,727,424

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Solution

The third proportional to 2,160,288 and 4,727,424 is: 10,345,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,288 : 4,727,424 = 4,727,424 : x
  2. Step 2: Convert to fraction form
    2,160,288/4,727,424 = 4,727,424/x
  3. Step 3: Cross multiply
    2,160,288x = 4,727,424 × 4,727,424
  4. Step 4: Simplify right side
    2,160,288x = 22,348,537,675,776
  5. Step 5: Solve for x
    x = 22,348,537,675,776/2,160,288
  6. Step 6: Final answer
    x = 10,345,165.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.