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Finding the Third Proportional to 689,013 and 1,006,303.50

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Solution

The third proportional to 689,013 and 1,006,303.50 is: 1,469,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,013 : 1,006,303.50 = 1,006,303.50 : x
  2. Step 2: Convert to fraction form
    689,013/1,006,303.50 = 1,006,303.50/x
  3. Step 3: Cross multiply
    689,013x = 1,006,303.50 × 1,006,303.50
  4. Step 4: Simplify right side
    689,013x = 1,012,646,734,112.25
  5. Step 5: Solve for x
    x = 1,012,646,734,112.25/689,013
  6. Step 6: Final answer
    x = 1,469,706.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.