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Finding the Third Proportional to 467,572 and 1,006,653

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Solution

The third proportional to 467,572 and 1,006,653 is: 2,167,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,572 : 1,006,653 = 1,006,653 : x
  2. Step 2: Convert to fraction form
    467,572/1,006,653 = 1,006,653/x
  3. Step 3: Cross multiply
    467,572x = 1,006,653 × 1,006,653
  4. Step 4: Simplify right side
    467,572x = 1,013,350,262,409
  5. Step 5: Solve for x
    x = 1,013,350,262,409/467,572
  6. Step 6: Final answer
    x = 2,167,260.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.