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Finding the Third Proportional to 540,326 and 1,175,786

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Solution

The third proportional to 540,326 and 1,175,786 is: 2,558,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,326 : 1,175,786 = 1,175,786 : x
  2. Step 2: Convert to fraction form
    540,326/1,175,786 = 1,175,786/x
  3. Step 3: Cross multiply
    540,326x = 1,175,786 × 1,175,786
  4. Step 4: Simplify right side
    540,326x = 1,382,472,717,796
  5. Step 5: Solve for x
    x = 1,382,472,717,796/540,326
  6. Step 6: Final answer
    x = 2,558,590.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.