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Finding the Third Proportional to 459,564 and 972,120

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Solution

The third proportional to 459,564 and 972,120 is: 2,056,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,564 : 972,120 = 972,120 : x
  2. Step 2: Convert to fraction form
    459,564/972,120 = 972,120/x
  3. Step 3: Cross multiply
    459,564x = 972,120 × 972,120
  4. Step 4: Simplify right side
    459,564x = 945,017,294,400
  5. Step 5: Solve for x
    x = 945,017,294,400/459,564
  6. Step 6: Final answer
    x = 2,056,334.47

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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.