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Finding the Third Proportional to 1,403,946 and 2,053,269

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Solution

The third proportional to 1,403,946 and 2,053,269 is: 3,002,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,946 : 2,053,269 = 2,053,269 : x
  2. Step 2: Convert to fraction form
    1,403,946/2,053,269 = 2,053,269/x
  3. Step 3: Cross multiply
    1,403,946x = 2,053,269 × 2,053,269
  4. Step 4: Simplify right side
    1,403,946x = 4,215,913,586,361
  5. Step 5: Solve for x
    x = 4,215,913,586,361/1,403,946
  6. Step 6: Final answer
    x = 3,002,902.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.