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Finding the Third Proportional to 771,335 and 1,661,201

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Solution

The third proportional to 771,335 and 1,661,201 is: 3,577,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,335 : 1,661,201 = 1,661,201 : x
  2. Step 2: Convert to fraction form
    771,335/1,661,201 = 1,661,201/x
  3. Step 3: Cross multiply
    771,335x = 1,661,201 × 1,661,201
  4. Step 4: Simplify right side
    771,335x = 2,759,588,762,401
  5. Step 5: Solve for x
    x = 2,759,588,762,401/771,335
  6. Step 6: Final answer
    x = 3,577,678.65

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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.