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Finding the Third Proportional to 1,790,416 and 3,663,560

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Solution

The third proportional to 1,790,416 and 3,663,560 is: 7,496,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790,416 : 3,663,560 = 3,663,560 : x
  2. Step 2: Convert to fraction form
    1,790,416/3,663,560 = 3,663,560/x
  3. Step 3: Cross multiply
    1,790,416x = 3,663,560 × 3,663,560
  4. Step 4: Simplify right side
    1,790,416x = 13,421,671,873,600
  5. Step 5: Solve for x
    x = 13,421,671,873,600/1,790,416
  6. Step 6: Final answer
    x = 7,496,398.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.