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Finding the Third Proportional to 537,084 and 1,158,264

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Solution

The third proportional to 537,084 and 1,158,264 is: 2,497,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,084 : 1,158,264 = 1,158,264 : x
  2. Step 2: Convert to fraction form
    537,084/1,158,264 = 1,158,264/x
  3. Step 3: Cross multiply
    537,084x = 1,158,264 × 1,158,264
  4. Step 4: Simplify right side
    537,084x = 1,341,575,493,696
  5. Step 5: Solve for x
    x = 1,341,575,493,696/537,084
  6. Step 6: Final answer
    x = 2,497,887.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.