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Finding the Third Proportional to 829,447 and 1,819,598

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Solution

The third proportional to 829,447 and 1,819,598 is: 3,991,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,447 : 1,819,598 = 1,819,598 : x
  2. Step 2: Convert to fraction form
    829,447/1,819,598 = 1,819,598/x
  3. Step 3: Cross multiply
    829,447x = 1,819,598 × 1,819,598
  4. Step 4: Simplify right side
    829,447x = 3,310,936,881,604
  5. Step 5: Solve for x
    x = 3,310,936,881,604/829,447
  6. Step 6: Final answer
    x = 3,991,740.14

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Why These Related Problems?

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