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Finding the Third Proportional to 1,525,416 and 2,069,367

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Solution

The third proportional to 1,525,416 and 2,069,367 is: 2,807,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,416 : 2,069,367 = 2,069,367 : x
  2. Step 2: Convert to fraction form
    1,525,416/2,069,367 = 2,069,367/x
  3. Step 3: Cross multiply
    1,525,416x = 2,069,367 × 2,069,367
  4. Step 4: Simplify right side
    1,525,416x = 4,282,279,780,689
  5. Step 5: Solve for x
    x = 4,282,279,780,689/1,525,416
  6. Step 6: Final answer
    x = 2,807,286.52

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.