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Finding the Third Proportional to 1,035,008 and 1,645,824

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Solution

The third proportional to 1,035,008 and 1,645,824 is: 2,617,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,008 : 1,645,824 = 1,645,824 : x
  2. Step 2: Convert to fraction form
    1,035,008/1,645,824 = 1,645,824/x
  3. Step 3: Cross multiply
    1,035,008x = 1,645,824 × 1,645,824
  4. Step 4: Simplify right side
    1,035,008x = 2,708,736,638,976
  5. Step 5: Solve for x
    x = 2,708,736,638,976/1,035,008
  6. Step 6: Final answer
    x = 2,617,116.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.