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Finding the Third Proportional to 1,098,144 and 2,406,240

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Solution

The third proportional to 1,098,144 and 2,406,240 is: 5,272,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,144 : 2,406,240 = 2,406,240 : x
  2. Step 2: Convert to fraction form
    1,098,144/2,406,240 = 2,406,240/x
  3. Step 3: Cross multiply
    1,098,144x = 2,406,240 × 2,406,240
  4. Step 4: Simplify right side
    1,098,144x = 5,789,990,937,600
  5. Step 5: Solve for x
    x = 5,789,990,937,600/1,098,144
  6. Step 6: Final answer
    x = 5,272,524.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.