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Finding the Third Proportional to 1,702,985 and 2,838,195

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Solution

The third proportional to 1,702,985 and 2,838,195 is: 4,730,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,985 : 2,838,195 = 2,838,195 : x
  2. Step 2: Convert to fraction form
    1,702,985/2,838,195 = 2,838,195/x
  3. Step 3: Cross multiply
    1,702,985x = 2,838,195 × 2,838,195
  4. Step 4: Simplify right side
    1,702,985x = 8,055,350,858,025
  5. Step 5: Solve for x
    x = 8,055,350,858,025/1,702,985
  6. Step 6: Final answer
    x = 4,730,136.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.