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Finding the Third Proportional to 763,575 and 1,645,167

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Solution

The third proportional to 763,575 and 1,645,167 is: 3,544,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,575 : 1,645,167 = 1,645,167 : x
  2. Step 2: Convert to fraction form
    763,575/1,645,167 = 1,645,167/x
  3. Step 3: Cross multiply
    763,575x = 1,645,167 × 1,645,167
  4. Step 4: Simplify right side
    763,575x = 2,706,574,457,889
  5. Step 5: Solve for x
    x = 2,706,574,457,889/763,575
  6. Step 6: Final answer
    x = 3,544,608.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.