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Finding the Third Proportional to 510,297 and 1,069,800

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Solution

The third proportional to 510,297 and 1,069,800 is: 2,242,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,297 : 1,069,800 = 1,069,800 : x
  2. Step 2: Convert to fraction form
    510,297/1,069,800 = 1,069,800/x
  3. Step 3: Cross multiply
    510,297x = 1,069,800 × 1,069,800
  4. Step 4: Simplify right side
    510,297x = 1,144,472,040,000
  5. Step 5: Solve for x
    x = 1,144,472,040,000/510,297
  6. Step 6: Final answer
    x = 2,242,756.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.