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Finding the Third Proportional to 1,035,738 and 1,648,764

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Solution

The third proportional to 1,035,738 and 1,648,764 is: 2,624,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,738 : 1,648,764 = 1,648,764 : x
  2. Step 2: Convert to fraction form
    1,035,738/1,648,764 = 1,648,764/x
  3. Step 3: Cross multiply
    1,035,738x = 1,648,764 × 1,648,764
  4. Step 4: Simplify right side
    1,035,738x = 2,718,422,727,696
  5. Step 5: Solve for x
    x = 2,718,422,727,696/1,035,738
  6. Step 6: Final answer
    x = 2,624,623.92

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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.