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Finding the Third Proportional to 580,184 and 1,266,640

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Solution

The third proportional to 580,184 and 1,266,640 is: 2,765,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,184 : 1,266,640 = 1,266,640 : x
  2. Step 2: Convert to fraction form
    580,184/1,266,640 = 1,266,640/x
  3. Step 3: Cross multiply
    580,184x = 1,266,640 × 1,266,640
  4. Step 4: Simplify right side
    580,184x = 1,604,376,889,600
  5. Step 5: Solve for x
    x = 1,604,376,889,600/580,184
  6. Step 6: Final answer
    x = 2,765,289.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.