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Finding the Third Proportional to 459,570 and 972,132

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Solution

The third proportional to 459,570 and 972,132 is: 2,056,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,570 : 972,132 = 972,132 : x
  2. Step 2: Convert to fraction form
    459,570/972,132 = 972,132/x
  3. Step 3: Cross multiply
    459,570x = 972,132 × 972,132
  4. Step 4: Simplify right side
    459,570x = 945,040,625,424
  5. Step 5: Solve for x
    x = 945,040,625,424/459,570
  6. Step 6: Final answer
    x = 2,056,358.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.