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Finding the Third Proportional to 829,584 and 1,776,672

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Solution

The third proportional to 829,584 and 1,776,672 is: 3,804,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,584 : 1,776,672 = 1,776,672 : x
  2. Step 2: Convert to fraction form
    829,584/1,776,672 = 1,776,672/x
  3. Step 3: Cross multiply
    829,584x = 1,776,672 × 1,776,672
  4. Step 4: Simplify right side
    829,584x = 3,156,563,395,584
  5. Step 5: Solve for x
    x = 3,156,563,395,584/829,584
  6. Step 6: Final answer
    x = 3,804,995.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.