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Finding the Third Proportional to 2,140,357 and 3,133,747

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Solution

The third proportional to 2,140,357 and 3,133,747 is: 4,588,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,357 : 3,133,747 = 3,133,747 : x
  2. Step 2: Convert to fraction form
    2,140,357/3,133,747 = 3,133,747/x
  3. Step 3: Cross multiply
    2,140,357x = 3,133,747 × 3,133,747
  4. Step 4: Simplify right side
    2,140,357x = 9,820,370,260,009
  5. Step 5: Solve for x
    x = 9,820,370,260,009/2,140,357
  6. Step 6: Final answer
    x = 4,588,192.65

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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.