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Finding the Third Proportional to 854,580 and 1,340,534

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Solution

The third proportional to 854,580 and 1,340,534 is: 2,102,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,580 : 1,340,534 = 1,340,534 : x
  2. Step 2: Convert to fraction form
    854,580/1,340,534 = 1,340,534/x
  3. Step 3: Cross multiply
    854,580x = 1,340,534 × 1,340,534
  4. Step 4: Simplify right side
    854,580x = 1,797,031,405,156
  5. Step 5: Solve for x
    x = 1,797,031,405,156/854,580
  6. Step 6: Final answer
    x = 2,102,824.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.