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Finding the Third Proportional to 2,406,593 and 3,610,409

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Solution

The third proportional to 2,406,593 and 3,610,409 is: 5,416,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,593 : 3,610,409 = 3,610,409 : x
  2. Step 2: Convert to fraction form
    2,406,593/3,610,409 = 3,610,409/x
  3. Step 3: Cross multiply
    2,406,593x = 3,610,409 × 3,610,409
  4. Step 4: Simplify right side
    2,406,593x = 13,035,053,147,281
  5. Step 5: Solve for x
    x = 13,035,053,147,281/2,406,593
  6. Step 6: Final answer
    x = 5,416,392.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.