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Finding the Third Proportional to 431,044 and 942,343

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Solution

The third proportional to 431,044 and 942,343 is: 2,060,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,044 : 942,343 = 942,343 : x
  2. Step 2: Convert to fraction form
    431,044/942,343 = 942,343/x
  3. Step 3: Cross multiply
    431,044x = 942,343 × 942,343
  4. Step 4: Simplify right side
    431,044x = 888,010,329,649
  5. Step 5: Solve for x
    x = 888,010,329,649/431,044
  6. Step 6: Final answer
    x = 2,060,138.48

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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.