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Finding the Third Proportional to 761,171 and 1,637,160

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Solution

The third proportional to 761,171 and 1,637,160 is: 3,521,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,171 : 1,637,160 = 1,637,160 : x
  2. Step 2: Convert to fraction form
    761,171/1,637,160 = 1,637,160/x
  3. Step 3: Cross multiply
    761,171x = 1,637,160 × 1,637,160
  4. Step 4: Simplify right side
    761,171x = 2,680,292,865,600
  5. Step 5: Solve for x
    x = 2,680,292,865,600/761,171
  6. Step 6: Final answer
    x = 3,521,275.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.