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Finding the Third Proportional to 976,451 and 1,478,447

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Solution

The third proportional to 976,451 and 1,478,447 is: 2,238,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,451 : 1,478,447 = 1,478,447 : x
  2. Step 2: Convert to fraction form
    976,451/1,478,447 = 1,478,447/x
  3. Step 3: Cross multiply
    976,451x = 1,478,447 × 1,478,447
  4. Step 4: Simplify right side
    976,451x = 2,185,805,531,809
  5. Step 5: Solve for x
    x = 2,185,805,531,809/976,451
  6. Step 6: Final answer
    x = 2,238,520.45

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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.