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Finding the Third Proportional to 1,531,818 and 2,146,559

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Solution

The third proportional to 1,531,818 and 2,146,559 is: 3,008,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,818 : 2,146,559 = 2,146,559 : x
  2. Step 2: Convert to fraction form
    1,531,818/2,146,559 = 2,146,559/x
  3. Step 3: Cross multiply
    1,531,818x = 2,146,559 × 2,146,559
  4. Step 4: Simplify right side
    1,531,818x = 4,607,715,540,481
  5. Step 5: Solve for x
    x = 4,607,715,540,481/1,531,818
  6. Step 6: Final answer
    x = 3,008,004.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.