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Finding the Third Proportional to 647,570 and 971,356

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Solution

The third proportional to 647,570 and 971,356 is: 1,457,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,570 : 971,356 = 971,356 : x
  2. Step 2: Convert to fraction form
    647,570/971,356 = 971,356/x
  3. Step 3: Cross multiply
    647,570x = 971,356 × 971,356
  4. Step 4: Simplify right side
    647,570x = 943,532,478,736
  5. Step 5: Solve for x
    x = 943,532,478,736/647,570
  6. Step 6: Final answer
    x = 1,457,035.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.