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Finding the Third Proportional to 566,616 and 1,220,664

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Solution

The third proportional to 566,616 and 1,220,664 is: 2,629,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,616 : 1,220,664 = 1,220,664 : x
  2. Step 2: Convert to fraction form
    566,616/1,220,664 = 1,220,664/x
  3. Step 3: Cross multiply
    566,616x = 1,220,664 × 1,220,664
  4. Step 4: Simplify right side
    566,616x = 1,490,020,600,896
  5. Step 5: Solve for x
    x = 1,490,020,600,896/566,616
  6. Step 6: Final answer
    x = 2,629,683.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.