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Finding the Third Proportional to 761,163 and 1,637,143

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Solution

The third proportional to 761,163 and 1,637,143 is: 3,521,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,163 : 1,637,143 = 1,637,143 : x
  2. Step 2: Convert to fraction form
    761,163/1,637,143 = 1,637,143/x
  3. Step 3: Cross multiply
    761,163x = 1,637,143 × 1,637,143
  4. Step 4: Simplify right side
    761,163x = 2,680,237,202,449
  5. Step 5: Solve for x
    x = 2,680,237,202,449/761,163
  6. Step 6: Final answer
    x = 3,521,239.47

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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.