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Finding the Third Proportional to 419,737.78 and 899,360.72

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Solution

The third proportional to 419,737.78 and 899,360.72 is: 1,927,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,737.78 : 899,360.72 = 899,360.72 : x
  2. Step 2: Convert to fraction form
    419,737.78/899,360.72 = 899,360.72/x
  3. Step 3: Cross multiply
    419,737.78x = 899,360.72 × 899,360.72
  4. Step 4: Simplify right side
    419,737.78x = 808,849,702,430.52
  5. Step 5: Solve for x
    x = 808,849,702,430.52/419,737.78
  6. Step 6: Final answer
    x = 1,927,035.73

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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.