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Finding the Third Proportional to 911,928 and 1,564,716

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Solution

The third proportional to 911,928 and 1,564,716 is: 2,684,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,928 : 1,564,716 = 1,564,716 : x
  2. Step 2: Convert to fraction form
    911,928/1,564,716 = 1,564,716/x
  3. Step 3: Cross multiply
    911,928x = 1,564,716 × 1,564,716
  4. Step 4: Simplify right side
    911,928x = 2,448,336,160,656
  5. Step 5: Solve for x
    x = 2,448,336,160,656/911,928
  6. Step 6: Final answer
    x = 2,684,791.08

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.