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Finding the Third Proportional to 384,387 and 841,173

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Solution

The third proportional to 384,387 and 841,173 is: 1,840,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,387 : 841,173 = 841,173 : x
  2. Step 2: Convert to fraction form
    384,387/841,173 = 841,173/x
  3. Step 3: Cross multiply
    384,387x = 841,173 × 841,173
  4. Step 4: Simplify right side
    384,387x = 707,572,015,929
  5. Step 5: Solve for x
    x = 707,572,015,929/384,387
  6. Step 6: Final answer
    x = 1,840,780.30

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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.