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Finding the Third Proportional to 623,912 and 1,277,394

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Solution

The third proportional to 623,912 and 1,277,394 is: 2,615,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,912 : 1,277,394 = 1,277,394 : x
  2. Step 2: Convert to fraction form
    623,912/1,277,394 = 1,277,394/x
  3. Step 3: Cross multiply
    623,912x = 1,277,394 × 1,277,394
  4. Step 4: Simplify right side
    623,912x = 1,631,735,431,236
  5. Step 5: Solve for x
    x = 1,631,735,431,236/623,912
  6. Step 6: Final answer
    x = 2,615,329.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.