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Finding the Third Proportional to 569,835 and 1,218,726

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Solution

The third proportional to 569,835 and 1,218,726 is: 2,606,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,835 : 1,218,726 = 1,218,726 : x
  2. Step 2: Convert to fraction form
    569,835/1,218,726 = 1,218,726/x
  3. Step 3: Cross multiply
    569,835x = 1,218,726 × 1,218,726
  4. Step 4: Simplify right side
    569,835x = 1,485,293,063,076
  5. Step 5: Solve for x
    x = 1,485,293,063,076/569,835
  6. Step 6: Final answer
    x = 2,606,531.83

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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.