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Finding the Third Proportional to 761,697 and 1,628,370

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Solution

The third proportional to 761,697 and 1,628,370 is: 3,481,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,697 : 1,628,370 = 1,628,370 : x
  2. Step 2: Convert to fraction form
    761,697/1,628,370 = 1,628,370/x
  3. Step 3: Cross multiply
    761,697x = 1,628,370 × 1,628,370
  4. Step 4: Simplify right side
    761,697x = 2,651,588,856,900
  5. Step 5: Solve for x
    x = 2,651,588,856,900/761,697
  6. Step 6: Final answer
    x = 3,481,159.64

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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.