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Finding the Third Proportional to 783,729 and 1,172,556

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Solution

The third proportional to 783,729 and 1,172,556 is: 1,754,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,729 : 1,172,556 = 1,172,556 : x
  2. Step 2: Convert to fraction form
    783,729/1,172,556 = 1,172,556/x
  3. Step 3: Cross multiply
    783,729x = 1,172,556 × 1,172,556
  4. Step 4: Simplify right side
    783,729x = 1,374,887,573,136
  5. Step 5: Solve for x
    x = 1,374,887,573,136/783,729
  6. Step 6: Final answer
    x = 1,754,289.52

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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.