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Finding the Third Proportional to 447,603 and 915,886

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Solution

The third proportional to 447,603 and 915,886 is: 1,874,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,603 : 915,886 = 915,886 : x
  2. Step 2: Convert to fraction form
    447,603/915,886 = 915,886/x
  3. Step 3: Cross multiply
    447,603x = 915,886 × 915,886
  4. Step 4: Simplify right side
    447,603x = 838,847,164,996
  5. Step 5: Solve for x
    x = 838,847,164,996/447,603
  6. Step 6: Final answer
    x = 1,874,087.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.