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Finding the Third Proportional to 479,842 and 1,018,724

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Solution

The third proportional to 479,842 and 1,018,724 is: 2,162,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,842 : 1,018,724 = 1,018,724 : x
  2. Step 2: Convert to fraction form
    479,842/1,018,724 = 1,018,724/x
  3. Step 3: Cross multiply
    479,842x = 1,018,724 × 1,018,724
  4. Step 4: Simplify right side
    479,842x = 1,037,798,588,176
  5. Step 5: Solve for x
    x = 1,037,798,588,176/479,842
  6. Step 6: Final answer
    x = 2,162,792.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.