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Finding the Third Proportional to 869,319 and 1,833,030

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Solution

The third proportional to 869,319 and 1,833,030 is: 3,865,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,319 : 1,833,030 = 1,833,030 : x
  2. Step 2: Convert to fraction form
    869,319/1,833,030 = 1,833,030/x
  3. Step 3: Cross multiply
    869,319x = 1,833,030 × 1,833,030
  4. Step 4: Simplify right side
    869,319x = 3,359,998,980,900
  5. Step 5: Solve for x
    x = 3,359,998,980,900/869,319
  6. Step 6: Final answer
    x = 3,865,093.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.