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Finding the Third Proportional to 2,400,984 and 3,662,464

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Solution

The third proportional to 2,400,984 and 3,662,464 is: 5,586,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,984 : 3,662,464 = 3,662,464 : x
  2. Step 2: Convert to fraction form
    2,400,984/3,662,464 = 3,662,464/x
  3. Step 3: Cross multiply
    2,400,984x = 3,662,464 × 3,662,464
  4. Step 4: Simplify right side
    2,400,984x = 13,413,642,551,296
  5. Step 5: Solve for x
    x = 13,413,642,551,296/2,400,984
  6. Step 6: Final answer
    x = 5,586,727.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.