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Finding the Third Proportional to 647,688 and 980,568

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Solution

The third proportional to 647,688 and 980,568 is: 1,484,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,688 : 980,568 = 980,568 : x
  2. Step 2: Convert to fraction form
    647,688/980,568 = 980,568/x
  3. Step 3: Cross multiply
    647,688x = 980,568 × 980,568
  4. Step 4: Simplify right side
    647,688x = 961,513,602,624
  5. Step 5: Solve for x
    x = 961,513,602,624/647,688
  6. Step 6: Final answer
    x = 1,484,532.06

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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.