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Finding the Third Proportional to 466,840 and 1,018,172

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Solution

The third proportional to 466,840 and 1,018,172 is: 2,220,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,840 : 1,018,172 = 1,018,172 : x
  2. Step 2: Convert to fraction form
    466,840/1,018,172 = 1,018,172/x
  3. Step 3: Cross multiply
    466,840x = 1,018,172 × 1,018,172
  4. Step 4: Simplify right side
    466,840x = 1,036,674,221,584
  5. Step 5: Solve for x
    x = 1,036,674,221,584/466,840
  6. Step 6: Final answer
    x = 2,220,619.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.