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Finding the Third Proportional to 620,199 and 933,913

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Solution

The third proportional to 620,199 and 933,913 is: 1,406,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,199 : 933,913 = 933,913 : x
  2. Step 2: Convert to fraction form
    620,199/933,913 = 933,913/x
  3. Step 3: Cross multiply
    620,199x = 933,913 × 933,913
  4. Step 4: Simplify right side
    620,199x = 872,193,491,569
  5. Step 5: Solve for x
    x = 872,193,491,569/620,199
  6. Step 6: Final answer
    x = 1,406,312.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.