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Finding the Third Proportional to 802,431 and 1,190,376

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Solution

The third proportional to 802,431 and 1,190,376 is: 1,765,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,431 : 1,190,376 = 1,190,376 : x
  2. Step 2: Convert to fraction form
    802,431/1,190,376 = 1,190,376/x
  3. Step 3: Cross multiply
    802,431x = 1,190,376 × 1,190,376
  4. Step 4: Simplify right side
    802,431x = 1,416,995,021,376
  5. Step 5: Solve for x
    x = 1,416,995,021,376/802,431
  6. Step 6: Final answer
    x = 1,765,877.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.