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Finding the Third Proportional to 922,965 and 1,397,181

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Solution

The third proportional to 922,965 and 1,397,181 is: 2,115,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,965 : 1,397,181 = 1,397,181 : x
  2. Step 2: Convert to fraction form
    922,965/1,397,181 = 1,397,181/x
  3. Step 3: Cross multiply
    922,965x = 1,397,181 × 1,397,181
  4. Step 4: Simplify right side
    922,965x = 1,952,114,746,761
  5. Step 5: Solve for x
    x = 1,952,114,746,761/922,965
  6. Step 6: Final answer
    x = 2,115,047.43

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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.