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Finding the Third Proportional to 1,203,710 and 1,829,205

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Solution

The third proportional to 1,203,710 and 1,829,205 is: 2,779,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,710 : 1,829,205 = 1,829,205 : x
  2. Step 2: Convert to fraction form
    1,203,710/1,829,205 = 1,829,205/x
  3. Step 3: Cross multiply
    1,203,710x = 1,829,205 × 1,829,205
  4. Step 4: Simplify right side
    1,203,710x = 3,345,990,932,025
  5. Step 5: Solve for x
    x = 3,345,990,932,025/1,203,710
  6. Step 6: Final answer
    x = 2,779,731.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.