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Finding the Third Proportional to 618,524 and 957,714

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Solution

The third proportional to 618,524 and 957,714 is: 1,482,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,524 : 957,714 = 957,714 : x
  2. Step 2: Convert to fraction form
    618,524/957,714 = 957,714/x
  3. Step 3: Cross multiply
    618,524x = 957,714 × 957,714
  4. Step 4: Simplify right side
    618,524x = 917,216,105,796
  5. Step 5: Solve for x
    x = 917,216,105,796/618,524
  6. Step 6: Final answer
    x = 1,482,911.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.