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Finding the Third Proportional to 785,721 and 1,163,853

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Solution

The third proportional to 785,721 and 1,163,853 is: 1,723,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,721 : 1,163,853 = 1,163,853 : x
  2. Step 2: Convert to fraction form
    785,721/1,163,853 = 1,163,853/x
  3. Step 3: Cross multiply
    785,721x = 1,163,853 × 1,163,853
  4. Step 4: Simplify right side
    785,721x = 1,354,553,805,609
  5. Step 5: Solve for x
    x = 1,354,553,805,609/785,721
  6. Step 6: Final answer
    x = 1,723,962.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.