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Finding the Third Proportional to 536,186 and 1,178,640

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Solution

The third proportional to 536,186 and 1,178,640 is: 2,590,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,186 : 1,178,640 = 1,178,640 : x
  2. Step 2: Convert to fraction form
    536,186/1,178,640 = 1,178,640/x
  3. Step 3: Cross multiply
    536,186x = 1,178,640 × 1,178,640
  4. Step 4: Simplify right side
    536,186x = 1,389,192,249,600
  5. Step 5: Solve for x
    x = 1,389,192,249,600/536,186
  6. Step 6: Final answer
    x = 2,590,877.51

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Why These Related Problems?

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