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Finding the Third Proportional to 420,862.50 and 900,814.50

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Solution

The third proportional to 420,862.50 and 900,814.50 is: 1,928,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,862.50 : 900,814.50 = 900,814.50 : x
  2. Step 2: Convert to fraction form
    420,862.50/900,814.50 = 900,814.50/x
  3. Step 3: Cross multiply
    420,862.50x = 900,814.50 × 900,814.50
  4. Step 4: Simplify right side
    420,862.50x = 811,466,763,410.25
  5. Step 5: Solve for x
    x = 811,466,763,410.25/420,862.50
  6. Step 6: Final answer
    x = 1,928,104.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.