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Finding the Third Proportional to 437,810 and 943,972

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Solution

The third proportional to 437,810 and 943,972 is: 2,035,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,810 : 943,972 = 943,972 : x
  2. Step 2: Convert to fraction form
    437,810/943,972 = 943,972/x
  3. Step 3: Cross multiply
    437,810x = 943,972 × 943,972
  4. Step 4: Simplify right side
    437,810x = 891,083,136,784
  5. Step 5: Solve for x
    x = 891,083,136,784/437,810
  6. Step 6: Final answer
    x = 2,035,319.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.