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Finding the Third Proportional to 462,052 and 1,003,159

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Solution

The third proportional to 462,052 and 1,003,159 is: 2,177,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,052 : 1,003,159 = 1,003,159 : x
  2. Step 2: Convert to fraction form
    462,052/1,003,159 = 1,003,159/x
  3. Step 3: Cross multiply
    462,052x = 1,003,159 × 1,003,159
  4. Step 4: Simplify right side
    462,052x = 1,006,327,979,281
  5. Step 5: Solve for x
    x = 1,006,327,979,281/462,052
  6. Step 6: Final answer
    x = 2,177,953.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.