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Finding the Third Proportional to 1,208,643 and 1,886,524.50

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Solution

The third proportional to 1,208,643 and 1,886,524.50 is: 2,944,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,643 : 1,886,524.50 = 1,886,524.50 : x
  2. Step 2: Convert to fraction form
    1,208,643/1,886,524.50 = 1,886,524.50/x
  3. Step 3: Cross multiply
    1,208,643x = 1,886,524.50 × 1,886,524.50
  4. Step 4: Simplify right side
    1,208,643x = 3,558,974,689,100.25
  5. Step 5: Solve for x
    x = 3,558,974,689,100.25/1,208,643
  6. Step 6: Final answer
    x = 2,944,603.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.