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Finding the Third Proportional to 665,143 and 1,014,321

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Solution

The third proportional to 665,143 and 1,014,321 is: 1,546,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,143 : 1,014,321 = 1,014,321 : x
  2. Step 2: Convert to fraction form
    665,143/1,014,321 = 1,014,321/x
  3. Step 3: Cross multiply
    665,143x = 1,014,321 × 1,014,321
  4. Step 4: Simplify right side
    665,143x = 1,028,847,091,041
  5. Step 5: Solve for x
    x = 1,028,847,091,041/665,143
  6. Step 6: Final answer
    x = 1,546,805.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.