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Finding the Third Proportional to 2,140,355.25 and 3,133,744.13

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Solution

The third proportional to 2,140,355.25 and 3,133,744.13 is: 4,588,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,355.25 : 3,133,744.13 = 3,133,744.13 : x
  2. Step 2: Convert to fraction form
    2,140,355.25/3,133,744.13 = 3,133,744.13/x
  3. Step 3: Cross multiply
    2,140,355.25x = 3,133,744.13 × 3,133,744.13
  4. Step 4: Simplify right side
    2,140,355.25x = 9,820,352,240,972.02
  5. Step 5: Solve for x
    x = 9,820,352,240,972.02/2,140,355.25
  6. Step 6: Final answer
    x = 4,588,187.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.