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Finding the Third Proportional to 934,278 and 1,463,670

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Solution

The third proportional to 934,278 and 1,463,670 is: 2,293,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,278 : 1,463,670 = 1,463,670 : x
  2. Step 2: Convert to fraction form
    934,278/1,463,670 = 1,463,670/x
  3. Step 3: Cross multiply
    934,278x = 1,463,670 × 1,463,670
  4. Step 4: Simplify right side
    934,278x = 2,142,329,868,900
  5. Step 5: Solve for x
    x = 2,142,329,868,900/934,278
  6. Step 6: Final answer
    x = 2,293,032.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.