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Finding the Third Proportional to 906,909 and 1,355,624.25

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Solution

The third proportional to 906,909 and 1,355,624.25 is: 2,026,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,909 : 1,355,624.25 = 1,355,624.25 : x
  2. Step 2: Convert to fraction form
    906,909/1,355,624.25 = 1,355,624.25/x
  3. Step 3: Cross multiply
    906,909x = 1,355,624.25 × 1,355,624.25
  4. Step 4: Simplify right side
    906,909x = 1,837,717,107,188.06
  5. Step 5: Solve for x
    x = 1,837,717,107,188.06/906,909
  6. Step 6: Final answer
    x = 2,026,352.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.