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Finding the Third Proportional to 613,820 and 930,207

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Solution

The third proportional to 613,820 and 930,207 is: 1,409,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,820 : 930,207 = 930,207 : x
  2. Step 2: Convert to fraction form
    613,820/930,207 = 930,207/x
  3. Step 3: Cross multiply
    613,820x = 930,207 × 930,207
  4. Step 4: Simplify right side
    613,820x = 865,285,062,849
  5. Step 5: Solve for x
    x = 865,285,062,849/613,820
  6. Step 6: Final answer
    x = 1,409,672.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.