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Finding the Third Proportional to 535,898 and 1,172,236

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Solution

The third proportional to 535,898 and 1,172,236 is: 2,564,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,898 : 1,172,236 = 1,172,236 : x
  2. Step 2: Convert to fraction form
    535,898/1,172,236 = 1,172,236/x
  3. Step 3: Cross multiply
    535,898x = 1,172,236 × 1,172,236
  4. Step 4: Simplify right side
    535,898x = 1,374,137,239,696
  5. Step 5: Solve for x
    x = 1,374,137,239,696/535,898
  6. Step 6: Final answer
    x = 2,564,176.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.