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Finding the Third Proportional to 2,169,601 and 4,665,709

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Solution

The third proportional to 2,169,601 and 4,665,709 is: 10,033,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,601 : 4,665,709 = 4,665,709 : x
  2. Step 2: Convert to fraction form
    2,169,601/4,665,709 = 4,665,709/x
  3. Step 3: Cross multiply
    2,169,601x = 4,665,709 × 4,665,709
  4. Step 4: Simplify right side
    2,169,601x = 21,768,840,472,681
  5. Step 5: Solve for x
    x = 21,768,840,472,681/2,169,601
  6. Step 6: Final answer
    x = 10,033,568.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.