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Finding the Third Proportional to 656,218 and 938,390

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Solution

The third proportional to 656,218 and 938,390 is: 1,341,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,218 : 938,390 = 938,390 : x
  2. Step 2: Convert to fraction form
    656,218/938,390 = 938,390/x
  3. Step 3: Cross multiply
    656,218x = 938,390 × 938,390
  4. Step 4: Simplify right side
    656,218x = 880,575,792,100
  5. Step 5: Solve for x
    x = 880,575,792,100/656,218
  6. Step 6: Final answer
    x = 1,341,895.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.