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Finding the Third Proportional to 810,209 and 1,746,025

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Solution

The third proportional to 810,209 and 1,746,025 is: 3,762,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,209 : 1,746,025 = 1,746,025 : x
  2. Step 2: Convert to fraction form
    810,209/1,746,025 = 1,746,025/x
  3. Step 3: Cross multiply
    810,209x = 1,746,025 × 1,746,025
  4. Step 4: Simplify right side
    810,209x = 3,048,603,300,625
  5. Step 5: Solve for x
    x = 3,048,603,300,625/810,209
  6. Step 6: Final answer
    x = 3,762,736.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.