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Finding the Third Proportional to 704,840 and 1,134,900

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Solution

The third proportional to 704,840 and 1,134,900 is: 1,827,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,840 : 1,134,900 = 1,134,900 : x
  2. Step 2: Convert to fraction form
    704,840/1,134,900 = 1,134,900/x
  3. Step 3: Cross multiply
    704,840x = 1,134,900 × 1,134,900
  4. Step 4: Simplify right side
    704,840x = 1,287,998,010,000
  5. Step 5: Solve for x
    x = 1,287,998,010,000/704,840
  6. Step 6: Final answer
    x = 1,827,362.25

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.