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Finding the Third Proportional to 767,645 and 1,623,865

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Solution

The third proportional to 767,645 and 1,623,865 is: 3,435,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,645 : 1,623,865 = 1,623,865 : x
  2. Step 2: Convert to fraction form
    767,645/1,623,865 = 1,623,865/x
  3. Step 3: Cross multiply
    767,645x = 1,623,865 × 1,623,865
  4. Step 4: Simplify right side
    767,645x = 2,636,937,538,225
  5. Step 5: Solve for x
    x = 2,636,937,538,225/767,645
  6. Step 6: Final answer
    x = 3,435,100.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.