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Finding the Third Proportional to 785,064 and 1,208,376

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Solution

The third proportional to 785,064 and 1,208,376 is: 1,859,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,064 : 1,208,376 = 1,208,376 : x
  2. Step 2: Convert to fraction form
    785,064/1,208,376 = 1,208,376/x
  3. Step 3: Cross multiply
    785,064x = 1,208,376 × 1,208,376
  4. Step 4: Simplify right side
    785,064x = 1,460,172,557,376
  5. Step 5: Solve for x
    x = 1,460,172,557,376/785,064
  6. Step 6: Final answer
    x = 1,859,940.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.