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Finding the Third Proportional to 1,294,407 and 2,006,082

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Solution

The third proportional to 1,294,407 and 2,006,082 is: 3,109,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,407 : 2,006,082 = 2,006,082 : x
  2. Step 2: Convert to fraction form
    1,294,407/2,006,082 = 2,006,082/x
  3. Step 3: Cross multiply
    1,294,407x = 2,006,082 × 2,006,082
  4. Step 4: Simplify right side
    1,294,407x = 4,024,364,990,724
  5. Step 5: Solve for x
    x = 4,024,364,990,724/1,294,407
  6. Step 6: Final answer
    x = 3,109,041.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.