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Finding the Third Proportional to 802,974 and 1,783,095

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Solution

The third proportional to 802,974 and 1,783,095 is: 3,959,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,974 : 1,783,095 = 1,783,095 : x
  2. Step 2: Convert to fraction form
    802,974/1,783,095 = 1,783,095/x
  3. Step 3: Cross multiply
    802,974x = 1,783,095 × 1,783,095
  4. Step 4: Simplify right side
    802,974x = 3,179,427,779,025
  5. Step 5: Solve for x
    x = 3,179,427,779,025/802,974
  6. Step 6: Final answer
    x = 3,959,565.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.