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Finding the Third Proportional to 647,370 and 980,052

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Solution

The third proportional to 647,370 and 980,052 is: 1,483,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,370 : 980,052 = 980,052 : x
  2. Step 2: Convert to fraction form
    647,370/980,052 = 980,052/x
  3. Step 3: Cross multiply
    647,370x = 980,052 × 980,052
  4. Step 4: Simplify right side
    647,370x = 960,501,922,704
  5. Step 5: Solve for x
    x = 960,501,922,704/647,370
  6. Step 6: Final answer
    x = 1,483,698.54

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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.