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Finding the Third Proportional to 1,964,498 and 4,231,276

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Solution

The third proportional to 1,964,498 and 4,231,276 is: 9,113,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,498 : 4,231,276 = 4,231,276 : x
  2. Step 2: Convert to fraction form
    1,964,498/4,231,276 = 4,231,276/x
  3. Step 3: Cross multiply
    1,964,498x = 4,231,276 × 4,231,276
  4. Step 4: Simplify right side
    1,964,498x = 17,903,696,588,176
  5. Step 5: Solve for x
    x = 17,903,696,588,176/1,964,498
  6. Step 6: Final answer
    x = 9,113,624.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.