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Finding the Third Proportional to 1,886,463 and 2,666,734.50

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Solution

The third proportional to 1,886,463 and 2,666,734.50 is: 3,769,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886,463 : 2,666,734.50 = 2,666,734.50 : x
  2. Step 2: Convert to fraction form
    1,886,463/2,666,734.50 = 2,666,734.50/x
  3. Step 3: Cross multiply
    1,886,463x = 2,666,734.50 × 2,666,734.50
  4. Step 4: Simplify right side
    1,886,463x = 7,111,472,893,490.25
  5. Step 5: Solve for x
    x = 7,111,472,893,490.25/1,886,463
  6. Step 6: Final answer
    x = 3,769,738.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.