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Finding the Third Proportional to 2,051,364 and 4,463,947.50

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Solution

The third proportional to 2,051,364 and 4,463,947.50 is: 9,713,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,364 : 4,463,947.50 = 4,463,947.50 : x
  2. Step 2: Convert to fraction form
    2,051,364/4,463,947.50 = 4,463,947.50/x
  3. Step 3: Cross multiply
    2,051,364x = 4,463,947.50 × 4,463,947.50
  4. Step 4: Simplify right side
    2,051,364x = 19,926,827,282,756.25
  5. Step 5: Solve for x
    x = 19,926,827,282,756.25/2,051,364
  6. Step 6: Final answer
    x = 9,713,940.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.