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Finding the Third Proportional to 1,403,952 and 2,053,278

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Solution

The third proportional to 1,403,952 and 2,053,278 is: 3,002,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,952 : 2,053,278 = 2,053,278 : x
  2. Step 2: Convert to fraction form
    1,403,952/2,053,278 = 2,053,278/x
  3. Step 3: Cross multiply
    1,403,952x = 2,053,278 × 2,053,278
  4. Step 4: Simplify right side
    1,403,952x = 4,215,950,545,284
  5. Step 5: Solve for x
    x = 4,215,950,545,284/1,403,952
  6. Step 6: Final answer
    x = 3,002,916.44

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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.