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Finding the Third Proportional to 684,956 and 1,090,854

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Solution

The third proportional to 684,956 and 1,090,854 is: 1,737,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,956 : 1,090,854 = 1,090,854 : x
  2. Step 2: Convert to fraction form
    684,956/1,090,854 = 1,090,854/x
  3. Step 3: Cross multiply
    684,956x = 1,090,854 × 1,090,854
  4. Step 4: Simplify right side
    684,956x = 1,189,962,449,316
  5. Step 5: Solve for x
    x = 1,189,962,449,316/684,956
  6. Step 6: Final answer
    x = 1,737,283.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.