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Finding the Third Proportional to 665,148 and 1,014,328

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Solution

The third proportional to 665,148 and 1,014,328 is: 1,546,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,148 : 1,014,328 = 1,014,328 : x
  2. Step 2: Convert to fraction form
    665,148/1,014,328 = 1,014,328/x
  3. Step 3: Cross multiply
    665,148x = 1,014,328 × 1,014,328
  4. Step 4: Simplify right side
    665,148x = 1,028,861,291,584
  5. Step 5: Solve for x
    x = 1,028,861,291,584/665,148
  6. Step 6: Final answer
    x = 1,546,815.58

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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.