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Finding the Third Proportional to 1,103,065.50 and 2,401,457.63

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Solution

The third proportional to 1,103,065.50 and 2,401,457.63 is: 5,228,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,065.50 : 2,401,457.63 = 2,401,457.63 : x
  2. Step 2: Convert to fraction form
    1,103,065.50/2,401,457.63 = 2,401,457.63/x
  3. Step 3: Cross multiply
    1,103,065.50x = 2,401,457.63 × 2,401,457.63
  4. Step 4: Simplify right side
    1,103,065.50x = 5,766,998,724,670.64
  5. Step 5: Solve for x
    x = 5,766,998,724,670.64/1,103,065.50
  6. Step 6: Final answer
    x = 5,228,156.19

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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.