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Finding the Third Proportional to 965,927.81 and 2,097,784.13

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Solution

The third proportional to 965,927.81 and 2,097,784.13 is: 4,555,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,927.81 : 2,097,784.13 = 2,097,784.13 : x
  2. Step 2: Convert to fraction form
    965,927.81/2,097,784.13 = 2,097,784.13/x
  3. Step 3: Cross multiply
    965,927.81x = 2,097,784.13 × 2,097,784.13
  4. Step 4: Simplify right side
    965,927.81x = 4,400,698,235,102.02
  5. Step 5: Solve for x
    x = 4,400,698,235,102.02/965,927.81
  6. Step 6: Final answer
    x = 4,555,928.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.