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Finding the Third Proportional to 1,109,102 and 1,656,261

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Solution

The third proportional to 1,109,102 and 1,656,261 is: 2,473,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,102 : 1,656,261 = 1,656,261 : x
  2. Step 2: Convert to fraction form
    1,109,102/1,656,261 = 1,656,261/x
  3. Step 3: Cross multiply
    1,109,102x = 1,656,261 × 1,656,261
  4. Step 4: Simplify right side
    1,109,102x = 2,743,200,500,121
  5. Step 5: Solve for x
    x = 2,743,200,500,121/1,109,102
  6. Step 6: Final answer
    x = 2,473,352.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.