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Finding the Third Proportional to 565,766.25 and 1,220,106

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Solution

The third proportional to 565,766.25 and 1,220,106 is: 2,631,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,766.25 : 1,220,106 = 1,220,106 : x
  2. Step 2: Convert to fraction form
    565,766.25/1,220,106 = 1,220,106/x
  3. Step 3: Cross multiply
    565,766.25x = 1,220,106 × 1,220,106
  4. Step 4: Simplify right side
    565,766.25x = 1,488,658,651,236
  5. Step 5: Solve for x
    x = 1,488,658,651,236/565,766.25
  6. Step 6: Final answer
    x = 2,631,225.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.