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Finding the Third Proportional to 1,908,901.69 and 4,116,738.94

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Solution

The third proportional to 1,908,901.69 and 4,116,738.94 is: 8,878,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,901.69 : 4,116,738.94 = 4,116,738.94 : x
  2. Step 2: Convert to fraction form
    1,908,901.69/4,116,738.94 = 4,116,738.94/x
  3. Step 3: Cross multiply
    1,908,901.69x = 4,116,738.94 × 4,116,738.94
  4. Step 4: Simplify right side
    1,908,901.69x = 16,947,539,479,528.63
  5. Step 5: Solve for x
    x = 16,947,539,479,528.63/1,908,901.69
  6. Step 6: Final answer
    x = 8,878,162.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.