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Finding the Third Proportional to 831,918 and 1,277,927

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Solution

The third proportional to 831,918 and 1,277,927 is: 1,963,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,918 : 1,277,927 = 1,277,927 : x
  2. Step 2: Convert to fraction form
    831,918/1,277,927 = 1,277,927/x
  3. Step 3: Cross multiply
    831,918x = 1,277,927 × 1,277,927
  4. Step 4: Simplify right side
    831,918x = 1,633,097,417,329
  5. Step 5: Solve for x
    x = 1,633,097,417,329/831,918
  6. Step 6: Final answer
    x = 1,963,050.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.