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Finding the Third Proportional to 458,051 and 904,606

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Solution

The third proportional to 458,051 and 904,606 is: 1,786,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051 : 904,606 = 904,606 : x
  2. Step 2: Convert to fraction form
    458,051/904,606 = 904,606/x
  3. Step 3: Cross multiply
    458,051x = 904,606 × 904,606
  4. Step 4: Simplify right side
    458,051x = 818,312,015,236
  5. Step 5: Solve for x
    x = 818,312,015,236/458,051
  6. Step 6: Final answer
    x = 1,786,508.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.