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Finding the Third Proportional to 2,119,740 and 4,594,908

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Solution

The third proportional to 2,119,740 and 4,594,908 is: 9,960,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,740 : 4,594,908 = 4,594,908 : x
  2. Step 2: Convert to fraction form
    2,119,740/4,594,908 = 4,594,908/x
  3. Step 3: Cross multiply
    2,119,740x = 4,594,908 × 4,594,908
  4. Step 4: Simplify right side
    2,119,740x = 21,113,179,528,464
  5. Step 5: Solve for x
    x = 21,113,179,528,464/2,119,740
  6. Step 6: Final answer
    x = 9,960,268.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.