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Finding the Third Proportional to 770,402 and 1,855,966

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Solution

The third proportional to 770,402 and 1,855,966 is: 4,471,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,402 : 1,855,966 = 1,855,966 : x
  2. Step 2: Convert to fraction form
    770,402/1,855,966 = 1,855,966/x
  3. Step 3: Cross multiply
    770,402x = 1,855,966 × 1,855,966
  4. Step 4: Simplify right side
    770,402x = 3,444,609,793,156
  5. Step 5: Solve for x
    x = 3,444,609,793,156/770,402
  6. Step 6: Final answer
    x = 4,471,184.90

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.