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Finding the Third Proportional to 623,919 and 1,277,412

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Solution

The third proportional to 623,919 and 1,277,412 is: 2,615,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,919 : 1,277,412 = 1,277,412 : x
  2. Step 2: Convert to fraction form
    623,919/1,277,412 = 1,277,412/x
  3. Step 3: Cross multiply
    623,919x = 1,277,412 × 1,277,412
  4. Step 4: Simplify right side
    623,919x = 1,631,781,417,744
  5. Step 5: Solve for x
    x = 1,631,781,417,744/623,919
  6. Step 6: Final answer
    x = 2,615,373.82

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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.