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Finding the Third Proportional to 1,586,464 and 3,487,856

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Solution

The third proportional to 1,586,464 and 3,487,856 is: 7,668,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,464 : 3,487,856 = 3,487,856 : x
  2. Step 2: Convert to fraction form
    1,586,464/3,487,856 = 3,487,856/x
  3. Step 3: Cross multiply
    1,586,464x = 3,487,856 × 3,487,856
  4. Step 4: Simplify right side
    1,586,464x = 12,165,139,476,736
  5. Step 5: Solve for x
    x = 12,165,139,476,736/1,586,464
  6. Step 6: Final answer
    x = 7,668,084.16

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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.