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Finding the Third Proportional to 1,097,514 and 1,638,009

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Solution

The third proportional to 1,097,514 and 1,638,009 is: 2,444,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,514 : 1,638,009 = 1,638,009 : x
  2. Step 2: Convert to fraction form
    1,097,514/1,638,009 = 1,638,009/x
  3. Step 3: Cross multiply
    1,097,514x = 1,638,009 × 1,638,009
  4. Step 4: Simplify right side
    1,097,514x = 2,683,073,484,081
  5. Step 5: Solve for x
    x = 2,683,073,484,081/1,097,514
  6. Step 6: Final answer
    x = 2,444,682.70

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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.