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Finding the Third Proportional to 2,117,168 and 4,127,424

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Solution

The third proportional to 2,117,168 and 4,127,424 is: 8,046,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,168 : 4,127,424 = 4,127,424 : x
  2. Step 2: Convert to fraction form
    2,117,168/4,127,424 = 4,127,424/x
  3. Step 3: Cross multiply
    2,117,168x = 4,127,424 × 4,127,424
  4. Step 4: Simplify right side
    2,117,168x = 17,035,628,875,776
  5. Step 5: Solve for x
    x = 17,035,628,875,776/2,117,168
  6. Step 6: Final answer
    x = 8,046,422.80

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.