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Finding the Third Proportional to 427,610 and 935,412

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Solution

The third proportional to 427,610 and 935,412 is: 2,046,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,610 : 935,412 = 935,412 : x
  2. Step 2: Convert to fraction form
    427,610/935,412 = 935,412/x
  3. Step 3: Cross multiply
    427,610x = 935,412 × 935,412
  4. Step 4: Simplify right side
    427,610x = 874,995,609,744
  5. Step 5: Solve for x
    x = 874,995,609,744/427,610
  6. Step 6: Final answer
    x = 2,046,246.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.