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Finding the Third Proportional to 647,366 and 980,046

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Solution

The third proportional to 647,366 and 980,046 is: 1,483,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,366 : 980,046 = 980,046 : x
  2. Step 2: Convert to fraction form
    647,366/980,046 = 980,046/x
  3. Step 3: Cross multiply
    647,366x = 980,046 × 980,046
  4. Step 4: Simplify right side
    647,366x = 960,490,162,116
  5. Step 5: Solve for x
    x = 960,490,162,116/647,366
  6. Step 6: Final answer
    x = 1,483,689.54

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