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Finding the Third Proportional to 384,424 and 841,261

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Solution

The third proportional to 384,424 and 841,261 is: 1,840,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,424 : 841,261 = 841,261 : x
  2. Step 2: Convert to fraction form
    384,424/841,261 = 841,261/x
  3. Step 3: Cross multiply
    384,424x = 841,261 × 841,261
  4. Step 4: Simplify right side
    384,424x = 707,720,070,121
  5. Step 5: Solve for x
    x = 707,720,070,121/384,424
  6. Step 6: Final answer
    x = 1,840,988.26

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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.