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Finding the Third Proportional to 623,930 and 1,277,431

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Solution

The third proportional to 623,930 and 1,277,431 is: 2,615,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,930 : 1,277,431 = 1,277,431 : x
  2. Step 2: Convert to fraction form
    623,930/1,277,431 = 1,277,431/x
  3. Step 3: Cross multiply
    623,930x = 1,277,431 × 1,277,431
  4. Step 4: Simplify right side
    623,930x = 1,631,829,959,761
  5. Step 5: Solve for x
    x = 1,631,829,959,761/623,930
  6. Step 6: Final answer
    x = 2,615,405.51

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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.