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Finding the Third Proportional to 763,096 and 1,657,412

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Solution

The third proportional to 763,096 and 1,657,412 is: 3,599,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,096 : 1,657,412 = 1,657,412 : x
  2. Step 2: Convert to fraction form
    763,096/1,657,412 = 1,657,412/x
  3. Step 3: Cross multiply
    763,096x = 1,657,412 × 1,657,412
  4. Step 4: Simplify right side
    763,096x = 2,747,014,537,744
  5. Step 5: Solve for x
    x = 2,747,014,537,744/763,096
  6. Step 6: Final answer
    x = 3,599,828.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.