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Finding the Third Proportional to 569,837 and 1,218,730

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Solution

The third proportional to 569,837 and 1,218,730 is: 2,606,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,837 : 1,218,730 = 1,218,730 : x
  2. Step 2: Convert to fraction form
    569,837/1,218,730 = 1,218,730/x
  3. Step 3: Cross multiply
    569,837x = 1,218,730 × 1,218,730
  4. Step 4: Simplify right side
    569,837x = 1,485,302,812,900
  5. Step 5: Solve for x
    x = 1,485,302,812,900/569,837
  6. Step 6: Final answer
    x = 2,606,539.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.