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Finding the Third Proportional to 647,374 and 980,058

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Solution

The third proportional to 647,374 and 980,058 is: 1,483,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,374 : 980,058 = 980,058 : x
  2. Step 2: Convert to fraction form
    647,374/980,058 = 980,058/x
  3. Step 3: Cross multiply
    647,374x = 980,058 × 980,058
  4. Step 4: Simplify right side
    647,374x = 960,513,683,364
  5. Step 5: Solve for x
    x = 960,513,683,364/647,374
  6. Step 6: Final answer
    x = 1,483,707.54

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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.