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Finding the Third Proportional to 691,139 and 1,081,854

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Solution

The third proportional to 691,139 and 1,081,854 is: 1,693,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,139 : 1,081,854 = 1,081,854 : x
  2. Step 2: Convert to fraction form
    691,139/1,081,854 = 1,081,854/x
  3. Step 3: Cross multiply
    691,139x = 1,081,854 × 1,081,854
  4. Step 4: Simplify right side
    691,139x = 1,170,408,077,316
  5. Step 5: Solve for x
    x = 1,170,408,077,316/691,139
  6. Step 6: Final answer
    x = 1,693,448.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.