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Finding the Third Proportional to 431,490 and 945,924

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Solution

The third proportional to 431,490 and 945,924 is: 2,073,680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,490 : 945,924 = 945,924 : x
  2. Step 2: Convert to fraction form
    431,490/945,924 = 945,924/x
  3. Step 3: Cross multiply
    431,490x = 945,924 × 945,924
  4. Step 4: Simplify right side
    431,490x = 894,772,213,776
  5. Step 5: Solve for x
    x = 894,772,213,776/431,490
  6. Step 6: Final answer
    x = 2,073,680.07

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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.