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Finding the Third Proportional to 675,680 and 909,648

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Solution

The third proportional to 675,680 and 909,648 is: 1,224,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,680 : 909,648 = 909,648 : x
  2. Step 2: Convert to fraction form
    675,680/909,648 = 909,648/x
  3. Step 3: Cross multiply
    675,680x = 909,648 × 909,648
  4. Step 4: Simplify right side
    675,680x = 827,459,483,904
  5. Step 5: Solve for x
    x = 827,459,483,904/675,680
  6. Step 6: Final answer
    x = 1,224,632.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.