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Finding the Third Proportional to 552,784 and 1,140,464

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Solution

The third proportional to 552,784 and 1,140,464 is: 2,352,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,784 : 1,140,464 = 1,140,464 : x
  2. Step 2: Convert to fraction form
    552,784/1,140,464 = 1,140,464/x
  3. Step 3: Cross multiply
    552,784x = 1,140,464 × 1,140,464
  4. Step 4: Simplify right side
    552,784x = 1,300,658,135,296
  5. Step 5: Solve for x
    x = 1,300,658,135,296/552,784
  6. Step 6: Final answer
    x = 2,352,922.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.