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Finding the Third Proportional to 766,308 and 1,665,264

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Solution

The third proportional to 766,308 and 1,665,264 is: 3,618,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,308 : 1,665,264 = 1,665,264 : x
  2. Step 2: Convert to fraction form
    766,308/1,665,264 = 1,665,264/x
  3. Step 3: Cross multiply
    766,308x = 1,665,264 × 1,665,264
  4. Step 4: Simplify right side
    766,308x = 2,773,104,189,696
  5. Step 5: Solve for x
    x = 2,773,104,189,696/766,308
  6. Step 6: Final answer
    x = 3,618,785.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.