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Finding the Third Proportional to 619,810 and 957,747

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Solution

The third proportional to 619,810 and 957,747 is: 1,479,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,810 : 957,747 = 957,747 : x
  2. Step 2: Convert to fraction form
    619,810/957,747 = 957,747/x
  3. Step 3: Cross multiply
    619,810x = 957,747 × 957,747
  4. Step 4: Simplify right side
    619,810x = 917,279,316,009
  5. Step 5: Solve for x
    x = 917,279,316,009/619,810
  6. Step 6: Final answer
    x = 1,479,936.30

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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.