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Finding the Third Proportional to 2,065,998 and 4,463,960

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Solution

The third proportional to 2,065,998 and 4,463,960 is: 9,645,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,998 : 4,463,960 = 4,463,960 : x
  2. Step 2: Convert to fraction form
    2,065,998/4,463,960 = 4,463,960/x
  3. Step 3: Cross multiply
    2,065,998x = 4,463,960 × 4,463,960
  4. Step 4: Simplify right side
    2,065,998x = 19,926,938,881,600
  5. Step 5: Solve for x
    x = 19,926,938,881,600/2,065,998
  6. Step 6: Final answer
    x = 9,645,187.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.