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Finding the Third Proportional to 569,200 and 1,208,492

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Solution

The third proportional to 569,200 and 1,208,492 is: 2,565,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,200 : 1,208,492 = 1,208,492 : x
  2. Step 2: Convert to fraction form
    569,200/1,208,492 = 1,208,492/x
  3. Step 3: Cross multiply
    569,200x = 1,208,492 × 1,208,492
  4. Step 4: Simplify right side
    569,200x = 1,460,452,914,064
  5. Step 5: Solve for x
    x = 1,460,452,914,064/569,200
  6. Step 6: Final answer
    x = 2,565,799.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.