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Finding the Third Proportional to 210,061 and 460,939

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Solution

The third proportional to 210,061 and 460,939 is: 1,011,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,061 : 460,939 = 460,939 : x
  2. Step 2: Convert to fraction form
    210,061/460,939 = 460,939/x
  3. Step 3: Cross multiply
    210,061x = 460,939 × 460,939
  4. Step 4: Simplify right side
    210,061x = 212,464,761,721
  5. Step 5: Solve for x
    x = 212,464,761,721/210,061
  6. Step 6: Final answer
    x = 1,011,443.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.