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Finding the Third Proportional to 722,253 and 1,537,815

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Solution

The third proportional to 722,253 and 1,537,815 is: 3,274,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,253 : 1,537,815 = 1,537,815 : x
  2. Step 2: Convert to fraction form
    722,253/1,537,815 = 1,537,815/x
  3. Step 3: Cross multiply
    722,253x = 1,537,815 × 1,537,815
  4. Step 4: Simplify right side
    722,253x = 2,364,874,974,225
  5. Step 5: Solve for x
    x = 2,364,874,974,225/722,253
  6. Step 6: Final answer
    x = 3,274,302.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.