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Finding the Third Proportional to 761,465 and 1,693,137

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Solution

The third proportional to 761,465 and 1,693,137 is: 3,764,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,465 : 1,693,137 = 1,693,137 : x
  2. Step 2: Convert to fraction form
    761,465/1,693,137 = 1,693,137/x
  3. Step 3: Cross multiply
    761,465x = 1,693,137 × 1,693,137
  4. Step 4: Simplify right side
    761,465x = 2,866,712,900,769
  5. Step 5: Solve for x
    x = 2,866,712,900,769/761,465
  6. Step 6: Final answer
    x = 3,764,733.64

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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.