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Finding the Third Proportional to 443,443 and 972,726

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Solution

The third proportional to 443,443 and 972,726 is: 2,133,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,443 : 972,726 = 972,726 : x
  2. Step 2: Convert to fraction form
    443,443/972,726 = 972,726/x
  3. Step 3: Cross multiply
    443,443x = 972,726 × 972,726
  4. Step 4: Simplify right side
    443,443x = 946,195,871,076
  5. Step 5: Solve for x
    x = 946,195,871,076/443,443
  6. Step 6: Final answer
    x = 2,133,748.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.