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Finding the Third Proportional to 1,051,537.50 and 2,287,603

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Solution

The third proportional to 1,051,537.50 and 2,287,603 is: 4,976,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,537.50 : 2,287,603 = 2,287,603 : x
  2. Step 2: Convert to fraction form
    1,051,537.50/2,287,603 = 2,287,603/x
  3. Step 3: Cross multiply
    1,051,537.50x = 2,287,603 × 2,287,603
  4. Step 4: Simplify right side
    1,051,537.50x = 5,233,127,485,609
  5. Step 5: Solve for x
    x = 5,233,127,485,609/1,051,537.50
  6. Step 6: Final answer
    x = 4,976,643.71

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Why These Related Problems?

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