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Finding the Third Proportional to 613,052 and 910,830

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Solution

The third proportional to 613,052 and 910,830 is: 1,353,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,052 : 910,830 = 910,830 : x
  2. Step 2: Convert to fraction form
    613,052/910,830 = 910,830/x
  3. Step 3: Cross multiply
    613,052x = 910,830 × 910,830
  4. Step 4: Simplify right side
    613,052x = 829,611,288,900
  5. Step 5: Solve for x
    x = 829,611,288,900/613,052
  6. Step 6: Final answer
    x = 1,353,247.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.