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Finding the Third Proportional to 653,798 and 1,416,095

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Solution

The third proportional to 653,798 and 1,416,095 is: 3,067,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,798 : 1,416,095 = 1,416,095 : x
  2. Step 2: Convert to fraction form
    653,798/1,416,095 = 1,416,095/x
  3. Step 3: Cross multiply
    653,798x = 1,416,095 × 1,416,095
  4. Step 4: Simplify right side
    653,798x = 2,005,325,049,025
  5. Step 5: Solve for x
    x = 2,005,325,049,025/653,798
  6. Step 6: Final answer
    x = 3,067,193.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.