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Finding the Third Proportional to 996,456 and 1,586,307

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Solution

The third proportional to 996,456 and 1,586,307 is: 2,525,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,456 : 1,586,307 = 1,586,307 : x
  2. Step 2: Convert to fraction form
    996,456/1,586,307 = 1,586,307/x
  3. Step 3: Cross multiply
    996,456x = 1,586,307 × 1,586,307
  4. Step 4: Simplify right side
    996,456x = 2,516,369,898,249
  5. Step 5: Solve for x
    x = 2,516,369,898,249/996,456
  6. Step 6: Final answer
    x = 2,525,319.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.