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Finding the Third Proportional to 816,495 and 1,773,201

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Solution

The third proportional to 816,495 and 1,773,201 is: 3,850,901.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,495 : 1,773,201 = 1,773,201 : x
  2. Step 2: Convert to fraction form
    816,495/1,773,201 = 1,773,201/x
  3. Step 3: Cross multiply
    816,495x = 1,773,201 × 1,773,201
  4. Step 4: Simplify right side
    816,495x = 3,144,241,786,401
  5. Step 5: Solve for x
    x = 3,144,241,786,401/816,495
  6. Step 6: Final answer
    x = 3,850,901.46

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