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Finding the Third Proportional to 786,996 and 1,725,300

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Solution

The third proportional to 786,996 and 1,725,300 is: 3,782,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,996 : 1,725,300 = 1,725,300 : x
  2. Step 2: Convert to fraction form
    786,996/1,725,300 = 1,725,300/x
  3. Step 3: Cross multiply
    786,996x = 1,725,300 × 1,725,300
  4. Step 4: Simplify right side
    786,996x = 2,976,660,090,000
  5. Step 5: Solve for x
    x = 2,976,660,090,000/786,996
  6. Step 6: Final answer
    x = 3,782,306.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.