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Finding the Third Proportional to 623,068 and 1,361,456

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Solution

The third proportional to 623,068 and 1,361,456 is: 2,974,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,068 : 1,361,456 = 1,361,456 : x
  2. Step 2: Convert to fraction form
    623,068/1,361,456 = 1,361,456/x
  3. Step 3: Cross multiply
    623,068x = 1,361,456 × 1,361,456
  4. Step 4: Simplify right side
    623,068x = 1,853,562,439,936
  5. Step 5: Solve for x
    x = 1,853,562,439,936/623,068
  6. Step 6: Final answer
    x = 2,974,895.90

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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.