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Finding the Third Proportional to 802,789 and 1,684,385

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Solution

The third proportional to 802,789 and 1,684,385 is: 3,534,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,789 : 1,684,385 = 1,684,385 : x
  2. Step 2: Convert to fraction form
    802,789/1,684,385 = 1,684,385/x
  3. Step 3: Cross multiply
    802,789x = 1,684,385 × 1,684,385
  4. Step 4: Simplify right side
    802,789x = 2,837,152,828,225
  5. Step 5: Solve for x
    x = 2,837,152,828,225/802,789
  6. Step 6: Final answer
    x = 3,534,120.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.