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Finding the Third Proportional to 376,946 and 812,937

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Solution

The third proportional to 376,946 and 812,937 is: 1,753,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,946 : 812,937 = 812,937 : x
  2. Step 2: Convert to fraction form
    376,946/812,937 = 812,937/x
  3. Step 3: Cross multiply
    376,946x = 812,937 × 812,937
  4. Step 4: Simplify right side
    376,946x = 660,866,565,969
  5. Step 5: Solve for x
    x = 660,866,565,969/376,946
  6. Step 6: Final answer
    x = 1,753,212.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.