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Finding the Third Proportional to 1,023,246 and 1,431,297

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Solution

The third proportional to 1,023,246 and 1,431,297 is: 2,002,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,246 : 1,431,297 = 1,431,297 : x
  2. Step 2: Convert to fraction form
    1,023,246/1,431,297 = 1,431,297/x
  3. Step 3: Cross multiply
    1,023,246x = 1,431,297 × 1,431,297
  4. Step 4: Simplify right side
    1,023,246x = 2,048,611,102,209
  5. Step 5: Solve for x
    x = 2,048,611,102,209/1,023,246
  6. Step 6: Final answer
    x = 2,002,070.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.