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Finding the Third Proportional to 784,280 and 1,173,297

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Solution

The third proportional to 784,280 and 1,173,297 is: 1,755,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,280 : 1,173,297 = 1,173,297 : x
  2. Step 2: Convert to fraction form
    784,280/1,173,297 = 1,173,297/x
  3. Step 3: Cross multiply
    784,280x = 1,173,297 × 1,173,297
  4. Step 4: Simplify right side
    784,280x = 1,376,625,850,209
  5. Step 5: Solve for x
    x = 1,376,625,850,209/784,280
  6. Step 6: Final answer
    x = 1,755,273.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.