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Finding the Third Proportional to 590,059 and 1,266,141

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Solution

The third proportional to 590,059 and 1,266,141 is: 2,716,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,059 : 1,266,141 = 1,266,141 : x
  2. Step 2: Convert to fraction form
    590,059/1,266,141 = 1,266,141/x
  3. Step 3: Cross multiply
    590,059x = 1,266,141 × 1,266,141
  4. Step 4: Simplify right side
    590,059x = 1,603,113,031,881
  5. Step 5: Solve for x
    x = 1,603,113,031,881/590,059
  6. Step 6: Final answer
    x = 2,716,869.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.