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Finding the Third Proportional to 761,566 and 1,693,340

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Solution

The third proportional to 761,566 and 1,693,340 is: 3,765,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,566 : 1,693,340 = 1,693,340 : x
  2. Step 2: Convert to fraction form
    761,566/1,693,340 = 1,693,340/x
  3. Step 3: Cross multiply
    761,566x = 1,693,340 × 1,693,340
  4. Step 4: Simplify right side
    761,566x = 2,867,400,355,600
  5. Step 5: Solve for x
    x = 2,867,400,355,600/761,566
  6. Step 6: Final answer
    x = 3,765,137.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.