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Finding the Third Proportional to 587,346 and 934,587

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Solution

The third proportional to 587,346 and 934,587 is: 1,487,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,346 : 934,587 = 934,587 : x
  2. Step 2: Convert to fraction form
    587,346/934,587 = 934,587/x
  3. Step 3: Cross multiply
    587,346x = 934,587 × 934,587
  4. Step 4: Simplify right side
    587,346x = 873,452,860,569
  5. Step 5: Solve for x
    x = 873,452,860,569/587,346
  6. Step 6: Final answer
    x = 1,487,118.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.