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Finding the Third Proportional to 858,304 and 1,884,640

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Solution

The third proportional to 858,304 and 1,884,640 is: 4,138,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,304 : 1,884,640 = 1,884,640 : x
  2. Step 2: Convert to fraction form
    858,304/1,884,640 = 1,884,640/x
  3. Step 3: Cross multiply
    858,304x = 1,884,640 × 1,884,640
  4. Step 4: Simplify right side
    858,304x = 3,551,867,929,600
  5. Step 5: Solve for x
    x = 3,551,867,929,600/858,304
  6. Step 6: Final answer
    x = 4,138,239.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.