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Finding the Third Proportional to 630,135 and 1,382,741

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Solution

The third proportional to 630,135 and 1,382,741 is: 3,034,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,135 : 1,382,741 = 1,382,741 : x
  2. Step 2: Convert to fraction form
    630,135/1,382,741 = 1,382,741/x
  3. Step 3: Cross multiply
    630,135x = 1,382,741 × 1,382,741
  4. Step 4: Simplify right side
    630,135x = 1,911,972,673,081
  5. Step 5: Solve for x
    x = 1,911,972,673,081/630,135
  6. Step 6: Final answer
    x = 3,034,227.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.