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Finding the Third Proportional to 771,720 and 1,194,804

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Solution

The third proportional to 771,720 and 1,194,804 is: 1,849,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,720 : 1,194,804 = 1,194,804 : x
  2. Step 2: Convert to fraction form
    771,720/1,194,804 = 1,194,804/x
  3. Step 3: Cross multiply
    771,720x = 1,194,804 × 1,194,804
  4. Step 4: Simplify right side
    771,720x = 1,427,556,598,416
  5. Step 5: Solve for x
    x = 1,427,556,598,416/771,720
  6. Step 6: Final answer
    x = 1,849,837.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.