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Finding the Third Proportional to 1,397,232 and 2,103,984

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Solution

The third proportional to 1,397,232 and 2,103,984 is: 3,168,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,232 : 2,103,984 = 2,103,984 : x
  2. Step 2: Convert to fraction form
    1,397,232/2,103,984 = 2,103,984/x
  3. Step 3: Cross multiply
    1,397,232x = 2,103,984 × 2,103,984
  4. Step 4: Simplify right side
    1,397,232x = 4,426,748,672,256
  5. Step 5: Solve for x
    x = 4,426,748,672,256/1,397,232
  6. Step 6: Final answer
    x = 3,168,227.38

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