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Finding the Third Proportional to 498,040 and 1,066,064

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Solution

The third proportional to 498,040 and 1,066,064 is: 2,281,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,040 : 1,066,064 = 1,066,064 : x
  2. Step 2: Convert to fraction form
    498,040/1,066,064 = 1,066,064/x
  3. Step 3: Cross multiply
    498,040x = 1,066,064 × 1,066,064
  4. Step 4: Simplify right side
    498,040x = 1,136,492,452,096
  5. Step 5: Solve for x
    x = 1,136,492,452,096/498,040
  6. Step 6: Final answer
    x = 2,281,930.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.