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Finding the Third Proportional to 788,071.50 and 1,248,082.88

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Solution

The third proportional to 788,071.50 and 1,248,082.88 is: 1,976,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,071.50 : 1,248,082.88 = 1,248,082.88 : x
  2. Step 2: Convert to fraction form
    788,071.50/1,248,082.88 = 1,248,082.88/x
  3. Step 3: Cross multiply
    788,071.50x = 1,248,082.88 × 1,248,082.88
  4. Step 4: Simplify right side
    788,071.50x = 1,557,710,862,868.27
  5. Step 5: Solve for x
    x = 1,557,710,862,868.27/788,071.50
  6. Step 6: Final answer
    x = 1,976,611.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.