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Finding the Third Proportional to 913,716 and 2,005,128

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Solution

The third proportional to 913,716 and 2,005,128 is: 4,400,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,716 : 2,005,128 = 2,005,128 : x
  2. Step 2: Convert to fraction form
    913,716/2,005,128 = 2,005,128/x
  3. Step 3: Cross multiply
    913,716x = 2,005,128 × 2,005,128
  4. Step 4: Simplify right side
    913,716x = 4,020,538,296,384
  5. Step 5: Solve for x
    x = 4,020,538,296,384/913,716
  6. Step 6: Final answer
    x = 4,400,205.64

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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.