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Finding the Third Proportional to 210,116 and 461,068

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Solution

The third proportional to 210,116 and 461,068 is: 1,011,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,116 : 461,068 = 461,068 : x
  2. Step 2: Convert to fraction form
    210,116/461,068 = 461,068/x
  3. Step 3: Cross multiply
    210,116x = 461,068 × 461,068
  4. Step 4: Simplify right side
    210,116x = 212,583,700,624
  5. Step 5: Solve for x
    x = 212,583,700,624/210,116
  6. Step 6: Final answer
    x = 1,011,744.47

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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.