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Finding the Third Proportional to 989,762 and 2,156,164

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Solution

The third proportional to 989,762 and 2,156,164 is: 4,697,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,762 : 2,156,164 = 2,156,164 : x
  2. Step 2: Convert to fraction form
    989,762/2,156,164 = 2,156,164/x
  3. Step 3: Cross multiply
    989,762x = 2,156,164 × 2,156,164
  4. Step 4: Simplify right side
    989,762x = 4,649,043,194,896
  5. Step 5: Solve for x
    x = 4,649,043,194,896/989,762
  6. Step 6: Final answer
    x = 4,697,132.44

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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.