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Finding the Third Proportional to 704,316 and 1,466,997

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Solution

The third proportional to 704,316 and 1,466,997 is: 3,055,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,316 : 1,466,997 = 1,466,997 : x
  2. Step 2: Convert to fraction form
    704,316/1,466,997 = 1,466,997/x
  3. Step 3: Cross multiply
    704,316x = 1,466,997 × 1,466,997
  4. Step 4: Simplify right side
    704,316x = 2,152,080,198,009
  5. Step 5: Solve for x
    x = 2,152,080,198,009/704,316
  6. Step 6: Final answer
    x = 3,055,560.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.