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Finding the Third Proportional to 1,525,965 and 3,288,117

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Solution

The third proportional to 1,525,965 and 3,288,117 is: 7,085,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,965 : 3,288,117 = 3,288,117 : x
  2. Step 2: Convert to fraction form
    1,525,965/3,288,117 = 3,288,117/x
  3. Step 3: Cross multiply
    1,525,965x = 3,288,117 × 3,288,117
  4. Step 4: Simplify right side
    1,525,965x = 10,811,713,405,689
  5. Step 5: Solve for x
    x = 10,811,713,405,689/1,525,965
  6. Step 6: Final answer
    x = 7,085,164.74

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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.