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Finding the Third Proportional to 813,906 and 1,197,328.50

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Solution

The third proportional to 813,906 and 1,197,328.50 is: 1,761,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,906 : 1,197,328.50 = 1,197,328.50 : x
  2. Step 2: Convert to fraction form
    813,906/1,197,328.50 = 1,197,328.50/x
  3. Step 3: Cross multiply
    813,906x = 1,197,328.50 × 1,197,328.50
  4. Step 4: Simplify right side
    813,906x = 1,433,595,536,912.25
  5. Step 5: Solve for x
    x = 1,433,595,536,912.25/813,906
  6. Step 6: Final answer
    x = 1,761,377.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.