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Finding the Third Proportional to 450,750 and 972,602

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Solution

The third proportional to 450,750 and 972,602 is: 2,098,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,750 : 972,602 = 972,602 : x
  2. Step 2: Convert to fraction form
    450,750/972,602 = 972,602/x
  3. Step 3: Cross multiply
    450,750x = 972,602 × 972,602
  4. Step 4: Simplify right side
    450,750x = 945,954,650,404
  5. Step 5: Solve for x
    x = 945,954,650,404/450,750
  6. Step 6: Final answer
    x = 2,098,623.74

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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.