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Finding the Third Proportional to 602,824 and 911,996

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Solution

The third proportional to 602,824 and 911,996 is: 1,379,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,824 : 911,996 = 911,996 : x
  2. Step 2: Convert to fraction form
    602,824/911,996 = 911,996/x
  3. Step 3: Cross multiply
    602,824x = 911,996 × 911,996
  4. Step 4: Simplify right side
    602,824x = 831,736,704,016
  5. Step 5: Solve for x
    x = 831,736,704,016/602,824
  6. Step 6: Final answer
    x = 1,379,733.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.