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Finding the Third Proportional to 605,127 and 936,951

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Solution

The third proportional to 605,127 and 936,951 is: 1,450,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,127 : 936,951 = 936,951 : x
  2. Step 2: Convert to fraction form
    605,127/936,951 = 936,951/x
  3. Step 3: Cross multiply
    605,127x = 936,951 × 936,951
  4. Step 4: Simplify right side
    605,127x = 877,877,176,401
  5. Step 5: Solve for x
    x = 877,877,176,401/605,127
  6. Step 6: Final answer
    x = 1,450,732.12

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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.