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Finding the Third Proportional to 618,714 and 1,312,434

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Solution

The third proportional to 618,714 and 1,312,434 is: 2,783,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,714 : 1,312,434 = 1,312,434 : x
  2. Step 2: Convert to fraction form
    618,714/1,312,434 = 1,312,434/x
  3. Step 3: Cross multiply
    618,714x = 1,312,434 × 1,312,434
  4. Step 4: Simplify right side
    618,714x = 1,722,483,004,356
  5. Step 5: Solve for x
    x = 1,722,483,004,356/618,714
  6. Step 6: Final answer
    x = 2,783,972.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.