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Finding the Third Proportional to 647,541 and 980,343

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Solution

The third proportional to 647,541 and 980,343 is: 1,484,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,541 : 980,343 = 980,343 : x
  2. Step 2: Convert to fraction form
    647,541/980,343 = 980,343/x
  3. Step 3: Cross multiply
    647,541x = 980,343 × 980,343
  4. Step 4: Simplify right side
    647,541x = 961,072,397,649
  5. Step 5: Solve for x
    x = 961,072,397,649/647,541
  6. Step 6: Final answer
    x = 1,484,187.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.