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Finding the Third Proportional to 1,013,823 and 1,569,265.88

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Solution

The third proportional to 1,013,823 and 1,569,265.88 is: 2,429,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,823 : 1,569,265.88 = 1,569,265.88 : x
  2. Step 2: Convert to fraction form
    1,013,823/1,569,265.88 = 1,569,265.88/x
  3. Step 3: Cross multiply
    1,013,823x = 1,569,265.88 × 1,569,265.88
  4. Step 4: Simplify right side
    1,013,823x = 2,462,595,386,439.52
  5. Step 5: Solve for x
    x = 2,462,595,386,439.52/1,013,823
  6. Step 6: Final answer
    x = 2,429,019.06

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Why These Related Problems?

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