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Finding the Third Proportional to 906,774.50 and 1,456,063.50

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Solution

The third proportional to 906,774.50 and 1,456,063.50 is: 2,338,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,774.50 : 1,456,063.50 = 1,456,063.50 : x
  2. Step 2: Convert to fraction form
    906,774.50/1,456,063.50 = 1,456,063.50/x
  3. Step 3: Cross multiply
    906,774.50x = 1,456,063.50 × 1,456,063.50
  4. Step 4: Simplify right side
    906,774.50x = 2,120,120,916,032.25
  5. Step 5: Solve for x
    x = 2,120,120,916,032.25/906,774.50
  6. Step 6: Final answer
    x = 2,338,090.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.