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Finding the Third Proportional to 789,534 and 1,199,070

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Solution

The third proportional to 789,534 and 1,199,070 is: 1,821,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,534 : 1,199,070 = 1,199,070 : x
  2. Step 2: Convert to fraction form
    789,534/1,199,070 = 1,199,070/x
  3. Step 3: Cross multiply
    789,534x = 1,199,070 × 1,199,070
  4. Step 4: Simplify right side
    789,534x = 1,437,768,864,900
  5. Step 5: Solve for x
    x = 1,437,768,864,900/789,534
  6. Step 6: Final answer
    x = 1,821,034.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.