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Finding the Third Proportional to 784,278 and 1,173,294

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Solution

The third proportional to 784,278 and 1,173,294 is: 1,755,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,278 : 1,173,294 = 1,173,294 : x
  2. Step 2: Convert to fraction form
    784,278/1,173,294 = 1,173,294/x
  3. Step 3: Cross multiply
    784,278x = 1,173,294 × 1,173,294
  4. Step 4: Simplify right side
    784,278x = 1,376,618,810,436
  5. Step 5: Solve for x
    x = 1,376,618,810,436/784,278
  6. Step 6: Final answer
    x = 1,755,268.94

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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.