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Finding the Third Proportional to 741,004 and 1,148,114

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Solution

The third proportional to 741,004 and 1,148,114 is: 1,778,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,004 : 1,148,114 = 1,148,114 : x
  2. Step 2: Convert to fraction form
    741,004/1,148,114 = 1,148,114/x
  3. Step 3: Cross multiply
    741,004x = 1,148,114 × 1,148,114
  4. Step 4: Simplify right side
    741,004x = 1,318,165,756,996
  5. Step 5: Solve for x
    x = 1,318,165,756,996/741,004
  6. Step 6: Final answer
    x = 1,778,891.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.