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Finding the Third Proportional to 760,476.75 and 1,650,942

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Solution

The third proportional to 760,476.75 and 1,650,942 is: 3,584,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,476.75 : 1,650,942 = 1,650,942 : x
  2. Step 2: Convert to fraction form
    760,476.75/1,650,942 = 1,650,942/x
  3. Step 3: Cross multiply
    760,476.75x = 1,650,942 × 1,650,942
  4. Step 4: Simplify right side
    760,476.75x = 2,725,609,487,364
  5. Step 5: Solve for x
    x = 2,725,609,487,364/760,476.75
  6. Step 6: Final answer
    x = 3,584,079.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.