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Finding the Third Proportional to 1,247,974 and 1,783,387.50

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Solution

The third proportional to 1,247,974 and 1,783,387.50 is: 2,548,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,974 : 1,783,387.50 = 1,783,387.50 : x
  2. Step 2: Convert to fraction form
    1,247,974/1,783,387.50 = 1,783,387.50/x
  3. Step 3: Cross multiply
    1,247,974x = 1,783,387.50 × 1,783,387.50
  4. Step 4: Simplify right side
    1,247,974x = 3,180,470,975,156.25
  5. Step 5: Solve for x
    x = 3,180,470,975,156.25/1,247,974
  6. Step 6: Final answer
    x = 2,548,507.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.