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Finding the Third Proportional to 740,407 and 1,119,722

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Solution

The third proportional to 740,407 and 1,119,722 is: 1,693,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,407 : 1,119,722 = 1,119,722 : x
  2. Step 2: Convert to fraction form
    740,407/1,119,722 = 1,119,722/x
  3. Step 3: Cross multiply
    740,407x = 1,119,722 × 1,119,722
  4. Step 4: Simplify right side
    740,407x = 1,253,777,357,284
  5. Step 5: Solve for x
    x = 1,253,777,357,284/740,407
  6. Step 6: Final answer
    x = 1,693,362.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.