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Finding the Third Proportional to 813,896 and 1,197,316.50

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Solution

The third proportional to 813,896 and 1,197,316.50 is: 1,761,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,896 : 1,197,316.50 = 1,197,316.50 : x
  2. Step 2: Convert to fraction form
    813,896/1,197,316.50 = 1,197,316.50/x
  3. Step 3: Cross multiply
    813,896x = 1,197,316.50 × 1,197,316.50
  4. Step 4: Simplify right side
    813,896x = 1,433,566,801,172.25
  5. Step 5: Solve for x
    x = 1,433,566,801,172.25/813,896
  6. Step 6: Final answer
    x = 1,761,363.62

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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.