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Finding the Third Proportional to 536,565 and 1,137,078

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Solution

The third proportional to 536,565 and 1,137,078 is: 2,409,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,565 : 1,137,078 = 1,137,078 : x
  2. Step 2: Convert to fraction form
    536,565/1,137,078 = 1,137,078/x
  3. Step 3: Cross multiply
    536,565x = 1,137,078 × 1,137,078
  4. Step 4: Simplify right side
    536,565x = 1,292,946,378,084
  5. Step 5: Solve for x
    x = 1,292,946,378,084/536,565
  6. Step 6: Final answer
    x = 2,409,673.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.