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Finding the Third Proportional to 829,571 and 1,319,076

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Solution

The third proportional to 829,571 and 1,319,076 is: 2,097,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,571 : 1,319,076 = 1,319,076 : x
  2. Step 2: Convert to fraction form
    829,571/1,319,076 = 1,319,076/x
  3. Step 3: Cross multiply
    829,571x = 1,319,076 × 1,319,076
  4. Step 4: Simplify right side
    829,571x = 1,739,961,493,776
  5. Step 5: Solve for x
    x = 1,739,961,493,776/829,571
  6. Step 6: Final answer
    x = 2,097,423.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.