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Finding the Third Proportional to 633,652 and 921,942

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Solution

The third proportional to 633,652 and 921,942 is: 1,341,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,652 : 921,942 = 921,942 : x
  2. Step 2: Convert to fraction form
    633,652/921,942 = 921,942/x
  3. Step 3: Cross multiply
    633,652x = 921,942 × 921,942
  4. Step 4: Simplify right side
    633,652x = 849,977,051,364
  5. Step 5: Solve for x
    x = 849,977,051,364/633,652
  6. Step 6: Final answer
    x = 1,341,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.