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Finding the Third Proportional to 1,933,641 and 4,211,370

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Solution

The third proportional to 1,933,641 and 4,211,370 is: 9,172,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,641 : 4,211,370 = 4,211,370 : x
  2. Step 2: Convert to fraction form
    1,933,641/4,211,370 = 4,211,370/x
  3. Step 3: Cross multiply
    1,933,641x = 4,211,370 × 4,211,370
  4. Step 4: Simplify right side
    1,933,641x = 17,735,637,276,900
  5. Step 5: Solve for x
    x = 17,735,637,276,900/1,933,641
  6. Step 6: Final answer
    x = 9,172,145.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.