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Finding the Third Proportional to 869,324 and 1,833,048

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Solution

The third proportional to 869,324 and 1,833,048 is: 3,865,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,324 : 1,833,048 = 1,833,048 : x
  2. Step 2: Convert to fraction form
    869,324/1,833,048 = 1,833,048/x
  3. Step 3: Cross multiply
    869,324x = 1,833,048 × 1,833,048
  4. Step 4: Simplify right side
    869,324x = 3,360,064,970,304
  5. Step 5: Solve for x
    x = 3,360,064,970,304/869,324
  6. Step 6: Final answer
    x = 3,865,146.91

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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.