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Finding the Third Proportional to 623,133 and 1,355,616

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Solution

The third proportional to 623,133 and 1,355,616 is: 2,949,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,133 : 1,355,616 = 1,355,616 : x
  2. Step 2: Convert to fraction form
    623,133/1,355,616 = 1,355,616/x
  3. Step 3: Cross multiply
    623,133x = 1,355,616 × 1,355,616
  4. Step 4: Simplify right side
    623,133x = 1,837,694,739,456
  5. Step 5: Solve for x
    x = 1,837,694,739,456/623,133
  6. Step 6: Final answer
    x = 2,949,121.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.