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Finding the Third Proportional to 869,321 and 1,833,034

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Solution

The third proportional to 869,321 and 1,833,034 is: 3,865,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,321 : 1,833,034 = 1,833,034 : x
  2. Step 2: Convert to fraction form
    869,321/1,833,034 = 1,833,034/x
  3. Step 3: Cross multiply
    869,321x = 1,833,034 × 1,833,034
  4. Step 4: Simplify right side
    869,321x = 3,360,013,645,156
  5. Step 5: Solve for x
    x = 3,360,013,645,156/869,321
  6. Step 6: Final answer
    x = 3,865,101.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.