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Finding the Third Proportional to 1,988,206.50 and 3,059,811.50

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Solution

The third proportional to 1,988,206.50 and 3,059,811.50 is: 4,708,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,206.50 : 3,059,811.50 = 3,059,811.50 : x
  2. Step 2: Convert to fraction form
    1,988,206.50/3,059,811.50 = 3,059,811.50/x
  3. Step 3: Cross multiply
    1,988,206.50x = 3,059,811.50 × 3,059,811.50
  4. Step 4: Simplify right side
    1,988,206.50x = 9,362,446,415,532.25
  5. Step 5: Solve for x
    x = 9,362,446,415,532.25/1,988,206.50
  6. Step 6: Final answer
    x = 4,708,990.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.