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Finding the Third Proportional to 869,910 and 1,271,297

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Solution

The third proportional to 869,910 and 1,271,297 is: 1,857,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,910 : 1,271,297 = 1,271,297 : x
  2. Step 2: Convert to fraction form
    869,910/1,271,297 = 1,271,297/x
  3. Step 3: Cross multiply
    869,910x = 1,271,297 × 1,271,297
  4. Step 4: Simplify right side
    869,910x = 1,616,196,062,209
  5. Step 5: Solve for x
    x = 1,616,196,062,209/869,910
  6. Step 6: Final answer
    x = 1,857,888.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.