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Finding the Third Proportional to 778,936 and 1,702,052

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Solution

The third proportional to 778,936 and 1,702,052 is: 3,719,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,936 : 1,702,052 = 1,702,052 : x
  2. Step 2: Convert to fraction form
    778,936/1,702,052 = 1,702,052/x
  3. Step 3: Cross multiply
    778,936x = 1,702,052 × 1,702,052
  4. Step 4: Simplify right side
    778,936x = 2,896,981,010,704
  5. Step 5: Solve for x
    x = 2,896,981,010,704/778,936
  6. Step 6: Final answer
    x = 3,719,151.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.