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Finding the Third Proportional to 1,286,553.50 and 2,750,164

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Solution

The third proportional to 1,286,553.50 and 2,750,164 is: 5,878,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,553.50 : 2,750,164 = 2,750,164 : x
  2. Step 2: Convert to fraction form
    1,286,553.50/2,750,164 = 2,750,164/x
  3. Step 3: Cross multiply
    1,286,553.50x = 2,750,164 × 2,750,164
  4. Step 4: Simplify right side
    1,286,553.50x = 7,563,402,026,896
  5. Step 5: Solve for x
    x = 7,563,402,026,896/1,286,553.50
  6. Step 6: Final answer
    x = 5,878,808.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.