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Finding the Third Proportional to 1,600,480 and 2,417,856

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Solution

The third proportional to 1,600,480 and 2,417,856 is: 3,652,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,480 : 2,417,856 = 2,417,856 : x
  2. Step 2: Convert to fraction form
    1,600,480/2,417,856 = 2,417,856/x
  3. Step 3: Cross multiply
    1,600,480x = 2,417,856 × 2,417,856
  4. Step 4: Simplify right side
    1,600,480x = 5,846,027,636,736
  5. Step 5: Solve for x
    x = 5,846,027,636,736/1,600,480
  6. Step 6: Final answer
    x = 3,652,671.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.