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Finding the Third Proportional to 760,733 and 1,606,346

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Solution

The third proportional to 760,733 and 1,606,346 is: 3,391,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,733 : 1,606,346 = 1,606,346 : x
  2. Step 2: Convert to fraction form
    760,733/1,606,346 = 1,606,346/x
  3. Step 3: Cross multiply
    760,733x = 1,606,346 × 1,606,346
  4. Step 4: Simplify right side
    760,733x = 2,580,347,471,716
  5. Step 5: Solve for x
    x = 2,580,347,471,716/760,733
  6. Step 6: Final answer
    x = 3,391,922.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.