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Finding the Third Proportional to 802,813.15 and 1,317,938.34

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Solution

The third proportional to 802,813.15 and 1,317,938.34 is: 2,163,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,813.15 : 1,317,938.34 = 1,317,938.34 : x
  2. Step 2: Convert to fraction form
    802,813.15/1,317,938.34 = 1,317,938.34/x
  3. Step 3: Cross multiply
    802,813.15x = 1,317,938.34 × 1,317,938.34
  4. Step 4: Simplify right side
    802,813.15x = 1,736,961,477,926.49
  5. Step 5: Solve for x
    x = 1,736,961,477,926.49/802,813.15
  6. Step 6: Final answer
    x = 2,163,593.71

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.