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Finding the Third Proportional to 378,810 and 841,701

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Solution

The third proportional to 378,810 and 841,701 is: 1,870,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,810 : 841,701 = 841,701 : x
  2. Step 2: Convert to fraction form
    378,810/841,701 = 841,701/x
  3. Step 3: Cross multiply
    378,810x = 841,701 × 841,701
  4. Step 4: Simplify right side
    378,810x = 708,460,573,401
  5. Step 5: Solve for x
    x = 708,460,573,401/378,810
  6. Step 6: Final answer
    x = 1,870,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.