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Finding the Third Proportional to 378,780 and 841,641

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Solution

The third proportional to 378,780 and 841,641 is: 1,870,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,780 : 841,641 = 841,641 : x
  2. Step 2: Convert to fraction form
    378,780/841,641 = 841,641/x
  3. Step 3: Cross multiply
    378,780x = 841,641 × 841,641
  4. Step 4: Simplify right side
    378,780x = 708,359,572,881
  5. Step 5: Solve for x
    x = 708,359,572,881/378,780
  6. Step 6: Final answer
    x = 1,870,108.17

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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.