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Finding the Third Proportional to 897,659 and 1,947,911

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Solution

The third proportional to 897,659 and 1,947,911 is: 4,226,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,659 : 1,947,911 = 1,947,911 : x
  2. Step 2: Convert to fraction form
    897,659/1,947,911 = 1,947,911/x
  3. Step 3: Cross multiply
    897,659x = 1,947,911 × 1,947,911
  4. Step 4: Simplify right side
    897,659x = 3,794,357,263,921
  5. Step 5: Solve for x
    x = 3,794,357,263,921/897,659
  6. Step 6: Final answer
    x = 4,226,947.27

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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.