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Finding the Third Proportional to 1,586,488 and 3,487,904

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Solution

The third proportional to 1,586,488 and 3,487,904 is: 7,668,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,488 : 3,487,904 = 3,487,904 : x
  2. Step 2: Convert to fraction form
    1,586,488/3,487,904 = 3,487,904/x
  3. Step 3: Cross multiply
    1,586,488x = 3,487,904 × 3,487,904
  4. Step 4: Simplify right side
    1,586,488x = 12,165,474,313,216
  5. Step 5: Solve for x
    x = 12,165,474,313,216/1,586,488
  6. Step 6: Final answer
    x = 7,668,179.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.