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Finding the Third Proportional to 614,904.47 and 1,350,869.91

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Solution

The third proportional to 614,904.47 and 1,350,869.91 is: 2,967,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,904.47 : 1,350,869.91 = 1,350,869.91 : x
  2. Step 2: Convert to fraction form
    614,904.47/1,350,869.91 = 1,350,869.91/x
  3. Step 3: Cross multiply
    614,904.47x = 1,350,869.91 × 1,350,869.91
  4. Step 4: Simplify right side
    614,904.47x = 1,824,849,503,611.88
  5. Step 5: Solve for x
    x = 1,824,849,503,611.88/614,904.47
  6. Step 6: Final answer
    x = 2,967,695.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.