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Finding the Third Proportional to 210,051 and 460,923

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Solution

The third proportional to 210,051 and 460,923 is: 1,011,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051 : 460,923 = 460,923 : x
  2. Step 2: Convert to fraction form
    210,051/460,923 = 460,923/x
  3. Step 3: Cross multiply
    210,051x = 460,923 × 460,923
  4. Step 4: Simplify right side
    210,051x = 212,450,011,929
  5. Step 5: Solve for x
    x = 212,450,011,929/210,051
  6. Step 6: Final answer
    x = 1,011,421.09

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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.