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Finding the Third Proportional to 569,645 and 1,229,355

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Solution

The third proportional to 569,645 and 1,229,355 is: 2,653,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,645 : 1,229,355 = 1,229,355 : x
  2. Step 2: Convert to fraction form
    569,645/1,229,355 = 1,229,355/x
  3. Step 3: Cross multiply
    569,645x = 1,229,355 × 1,229,355
  4. Step 4: Simplify right side
    569,645x = 1,511,313,716,025
  5. Step 5: Solve for x
    x = 1,511,313,716,025/569,645
  6. Step 6: Final answer
    x = 2,653,079.93

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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.