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Finding the Third Proportional to 384,497 and 841,369

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Solution

The third proportional to 384,497 and 841,369 is: 1,841,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,497 : 841,369 = 841,369 : x
  2. Step 2: Convert to fraction form
    384,497/841,369 = 841,369/x
  3. Step 3: Cross multiply
    384,497x = 841,369 × 841,369
  4. Step 4: Simplify right side
    384,497x = 707,901,794,161
  5. Step 5: Solve for x
    x = 707,901,794,161/384,497
  6. Step 6: Final answer
    x = 1,841,111.36

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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.