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Finding the Third Proportional to 836,628 and 1,292,732

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Solution

The third proportional to 836,628 and 1,292,732 is: 1,997,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,628 : 1,292,732 = 1,292,732 : x
  2. Step 2: Convert to fraction form
    836,628/1,292,732 = 1,292,732/x
  3. Step 3: Cross multiply
    836,628x = 1,292,732 × 1,292,732
  4. Step 4: Simplify right side
    836,628x = 1,671,156,023,824
  5. Step 5: Solve for x
    x = 1,671,156,023,824/836,628
  6. Step 6: Final answer
    x = 1,997,489.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.