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Finding the Third Proportional to 763,097 and 1,657,411

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Solution

The third proportional to 763,097 and 1,657,411 is: 3,599,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,097 : 1,657,411 = 1,657,411 : x
  2. Step 2: Convert to fraction form
    763,097/1,657,411 = 1,657,411/x
  3. Step 3: Cross multiply
    763,097x = 1,657,411 × 1,657,411
  4. Step 4: Simplify right side
    763,097x = 2,747,011,222,921
  5. Step 5: Solve for x
    x = 2,747,011,222,921/763,097
  6. Step 6: Final answer
    x = 3,599,819.19

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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.