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Finding the Third Proportional to 594,645 and 847,677

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Solution

The third proportional to 594,645 and 847,677 is: 1,208,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,645 : 847,677 = 847,677 : x
  2. Step 2: Convert to fraction form
    594,645/847,677 = 847,677/x
  3. Step 3: Cross multiply
    594,645x = 847,677 × 847,677
  4. Step 4: Simplify right side
    594,645x = 718,556,296,329
  5. Step 5: Solve for x
    x = 718,556,296,329/594,645
  6. Step 6: Final answer
    x = 1,208,378.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.