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Finding the Third Proportional to 1,013,836.50 and 1,569,288.38

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Solution

The third proportional to 1,013,836.50 and 1,569,288.38 is: 2,429,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,836.50 : 1,569,288.38 = 1,569,288.38 : x
  2. Step 2: Convert to fraction form
    1,013,836.50/1,569,288.38 = 1,569,288.38/x
  3. Step 3: Cross multiply
    1,013,836.50x = 1,569,288.38 × 1,569,288.38
  4. Step 4: Simplify right side
    1,013,836.50x = 2,462,666,003,910.14
  5. Step 5: Solve for x
    x = 2,462,666,003,910.14/1,013,836.50
  6. Step 6: Final answer
    x = 2,429,056.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.