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Finding the Third Proportional to 527,010 and 1,243,632

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Solution

The third proportional to 527,010 and 1,243,632 is: 2,934,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,010 : 1,243,632 = 1,243,632 : x
  2. Step 2: Convert to fraction form
    527,010/1,243,632 = 1,243,632/x
  3. Step 3: Cross multiply
    527,010x = 1,243,632 × 1,243,632
  4. Step 4: Simplify right side
    527,010x = 1,546,620,551,424
  5. Step 5: Solve for x
    x = 1,546,620,551,424/527,010
  6. Step 6: Final answer
    x = 2,934,708.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.