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Finding the Third Proportional to 857,592 and 1,254,150

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Solution

The third proportional to 857,592 and 1,254,150 is: 1,834,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,592 : 1,254,150 = 1,254,150 : x
  2. Step 2: Convert to fraction form
    857,592/1,254,150 = 1,254,150/x
  3. Step 3: Cross multiply
    857,592x = 1,254,150 × 1,254,150
  4. Step 4: Simplify right side
    857,592x = 1,572,892,222,500
  5. Step 5: Solve for x
    x = 1,572,892,222,500/857,592
  6. Step 6: Final answer
    x = 1,834,079.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.