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Finding the Third Proportional to 1,099,663 and 1,610,127

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Solution

The third proportional to 1,099,663 and 1,610,127 is: 2,357,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,663 : 1,610,127 = 1,610,127 : x
  2. Step 2: Convert to fraction form
    1,099,663/1,610,127 = 1,610,127/x
  3. Step 3: Cross multiply
    1,099,663x = 1,610,127 × 1,610,127
  4. Step 4: Simplify right side
    1,099,663x = 2,592,508,956,129
  5. Step 5: Solve for x
    x = 2,592,508,956,129/1,099,663
  6. Step 6: Final answer
    x = 2,357,548.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.