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Finding the Third Proportional to 467,528 and 1,014,858

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Solution

The third proportional to 467,528 and 1,014,858 is: 2,202,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,528 : 1,014,858 = 1,014,858 : x
  2. Step 2: Convert to fraction form
    467,528/1,014,858 = 1,014,858/x
  3. Step 3: Cross multiply
    467,528x = 1,014,858 × 1,014,858
  4. Step 4: Simplify right side
    467,528x = 1,029,936,760,164
  5. Step 5: Solve for x
    x = 1,029,936,760,164/467,528
  6. Step 6: Final answer
    x = 2,202,941.34

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