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Finding the Third Proportional to 461,528 and 994,480

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Solution

The third proportional to 461,528 and 994,480 is: 2,142,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,528 : 994,480 = 994,480 : x
  2. Step 2: Convert to fraction form
    461,528/994,480 = 994,480/x
  3. Step 3: Cross multiply
    461,528x = 994,480 × 994,480
  4. Step 4: Simplify right side
    461,528x = 988,990,470,400
  5. Step 5: Solve for x
    x = 988,990,470,400/461,528
  6. Step 6: Final answer
    x = 2,142,861.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.