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Finding the Third Proportional to 1,917,150 and 4,200,955.50

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Solution

The third proportional to 1,917,150 and 4,200,955.50 is: 9,205,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917,150 : 4,200,955.50 = 4,200,955.50 : x
  2. Step 2: Convert to fraction form
    1,917,150/4,200,955.50 = 4,200,955.50/x
  3. Step 3: Cross multiply
    1,917,150x = 4,200,955.50 × 4,200,955.50
  4. Step 4: Simplify right side
    1,917,150x = 17,648,027,112,980.25
  5. Step 5: Solve for x
    x = 17,648,027,112,980.25/1,917,150
  6. Step 6: Final answer
    x = 9,205,344.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.