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Finding the Third Proportional to 610,544 and 933,948

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Solution

The third proportional to 610,544 and 933,948 is: 1,428,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,544 : 933,948 = 933,948 : x
  2. Step 2: Convert to fraction form
    610,544/933,948 = 933,948/x
  3. Step 3: Cross multiply
    610,544x = 933,948 × 933,948
  4. Step 4: Simplify right side
    610,544x = 872,258,866,704
  5. Step 5: Solve for x
    x = 872,258,866,704/610,544
  6. Step 6: Final answer
    x = 1,428,658.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.