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Finding the Third Proportional to 883,521 and 1,923,466

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Solution

The third proportional to 883,521 and 1,923,466 is: 4,187,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,521 : 1,923,466 = 1,923,466 : x
  2. Step 2: Convert to fraction form
    883,521/1,923,466 = 1,923,466/x
  3. Step 3: Cross multiply
    883,521x = 1,923,466 × 1,923,466
  4. Step 4: Simplify right side
    883,521x = 3,699,721,453,156
  5. Step 5: Solve for x
    x = 3,699,721,453,156/883,521
  6. Step 6: Final answer
    x = 4,187,474.27

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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.