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Finding the Third Proportional to 761,695 and 1,628,365

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Solution

The third proportional to 761,695 and 1,628,365 is: 3,481,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,695 : 1,628,365 = 1,628,365 : x
  2. Step 2: Convert to fraction form
    761,695/1,628,365 = 1,628,365/x
  3. Step 3: Cross multiply
    761,695x = 1,628,365 × 1,628,365
  4. Step 4: Simplify right side
    761,695x = 2,651,572,573,225
  5. Step 5: Solve for x
    x = 2,651,572,573,225/761,695
  6. Step 6: Final answer
    x = 3,481,147.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.