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Finding the Third Proportional to 1,606,536 and 3,461,904

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Solution

The third proportional to 1,606,536 and 3,461,904 is: 7,460,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,536 : 3,461,904 = 3,461,904 : x
  2. Step 2: Convert to fraction form
    1,606,536/3,461,904 = 3,461,904/x
  3. Step 3: Cross multiply
    1,606,536x = 3,461,904 × 3,461,904
  4. Step 4: Simplify right side
    1,606,536x = 11,984,779,305,216
  5. Step 5: Solve for x
    x = 11,984,779,305,216/1,606,536
  6. Step 6: Final answer
    x = 7,460,012.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.