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Finding the Third Proportional to 455,160 and 993,264

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Solution

The third proportional to 455,160 and 993,264 is: 2,167,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,160 : 993,264 = 993,264 : x
  2. Step 2: Convert to fraction form
    455,160/993,264 = 993,264/x
  3. Step 3: Cross multiply
    455,160x = 993,264 × 993,264
  4. Step 4: Simplify right side
    455,160x = 986,573,373,696
  5. Step 5: Solve for x
    x = 986,573,373,696/455,160
  6. Step 6: Final answer
    x = 2,167,530.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.