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Finding the Third Proportional to 931,548 and 1,897,351

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Solution

The third proportional to 931,548 and 1,897,351 is: 3,864,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,548 : 1,897,351 = 1,897,351 : x
  2. Step 2: Convert to fraction form
    931,548/1,897,351 = 1,897,351/x
  3. Step 3: Cross multiply
    931,548x = 1,897,351 × 1,897,351
  4. Step 4: Simplify right side
    931,548x = 3,599,940,817,201
  5. Step 5: Solve for x
    x = 3,599,940,817,201/931,548
  6. Step 6: Final answer
    x = 3,864,471.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.