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Finding the Third Proportional to 435,120 and 922,440

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Solution

The third proportional to 435,120 and 922,440 is: 1,955,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,120 : 922,440 = 922,440 : x
  2. Step 2: Convert to fraction form
    435,120/922,440 = 922,440/x
  3. Step 3: Cross multiply
    435,120x = 922,440 × 922,440
  4. Step 4: Simplify right side
    435,120x = 850,895,553,600
  5. Step 5: Solve for x
    x = 850,895,553,600/435,120
  6. Step 6: Final answer
    x = 1,955,542.27

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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.