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Finding the Third Proportional to 619,768 and 957,678

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Solution

The third proportional to 619,768 and 957,678 is: 1,479,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,768 : 957,678 = 957,678 : x
  2. Step 2: Convert to fraction form
    619,768/957,678 = 957,678/x
  3. Step 3: Cross multiply
    619,768x = 957,678 × 957,678
  4. Step 4: Simplify right side
    619,768x = 917,147,151,684
  5. Step 5: Solve for x
    x = 917,147,151,684/619,768
  6. Step 6: Final answer
    x = 1,479,823.34

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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.