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Finding the Third Proportional to 420,584 and 922,594

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Solution

The third proportional to 420,584 and 922,594 is: 2,023,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,584 : 922,594 = 922,594 : x
  2. Step 2: Convert to fraction form
    420,584/922,594 = 922,594/x
  3. Step 3: Cross multiply
    420,584x = 922,594 × 922,594
  4. Step 4: Simplify right side
    420,584x = 851,179,688,836
  5. Step 5: Solve for x
    x = 851,179,688,836/420,584
  6. Step 6: Final answer
    x = 2,023,804.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.