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Finding the Third Proportional to 1,585,326 and 3,473,641

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Solution

The third proportional to 1,585,326 and 3,473,641 is: 7,611,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,326 : 3,473,641 = 3,473,641 : x
  2. Step 2: Convert to fraction form
    1,585,326/3,473,641 = 3,473,641/x
  3. Step 3: Cross multiply
    1,585,326x = 3,473,641 × 3,473,641
  4. Step 4: Simplify right side
    1,585,326x = 12,066,181,796,881
  5. Step 5: Solve for x
    x = 12,066,181,796,881/1,585,326
  6. Step 6: Final answer
    x = 7,611,167.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.