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Finding the Third Proportional to 514,035 and 1,106,838

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Solution

The third proportional to 514,035 and 1,106,838 is: 2,383,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,035 : 1,106,838 = 1,106,838 : x
  2. Step 2: Convert to fraction form
    514,035/1,106,838 = 1,106,838/x
  3. Step 3: Cross multiply
    514,035x = 1,106,838 × 1,106,838
  4. Step 4: Simplify right side
    514,035x = 1,225,090,358,244
  5. Step 5: Solve for x
    x = 1,225,090,358,244/514,035
  6. Step 6: Final answer
    x = 2,383,281.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.