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Finding the Third Proportional to 384,470 and 841,319

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Solution

The third proportional to 384,470 and 841,319 is: 1,841,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,470 : 841,319 = 841,319 : x
  2. Step 2: Convert to fraction form
    384,470/841,319 = 841,319/x
  3. Step 3: Cross multiply
    384,470x = 841,319 × 841,319
  4. Step 4: Simplify right side
    384,470x = 707,817,659,761
  5. Step 5: Solve for x
    x = 707,817,659,761/384,470
  6. Step 6: Final answer
    x = 1,841,021.82

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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.