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Finding the Third Proportional to 768,069 and 1,671,574

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Solution

The third proportional to 768,069 and 1,671,574 is: 3,637,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,069 : 1,671,574 = 1,671,574 : x
  2. Step 2: Convert to fraction form
    768,069/1,671,574 = 1,671,574/x
  3. Step 3: Cross multiply
    768,069x = 1,671,574 × 1,671,574
  4. Step 4: Simplify right side
    768,069x = 2,794,159,637,476
  5. Step 5: Solve for x
    x = 2,794,159,637,476/768,069
  6. Step 6: Final answer
    x = 3,637,901.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.