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Finding the Third Proportional to 651,944 and 997,298

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Solution

The third proportional to 651,944 and 997,298 is: 1,525,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,944 : 997,298 = 997,298 : x
  2. Step 2: Convert to fraction form
    651,944/997,298 = 997,298/x
  3. Step 3: Cross multiply
    651,944x = 997,298 × 997,298
  4. Step 4: Simplify right side
    651,944x = 994,603,300,804
  5. Step 5: Solve for x
    x = 994,603,300,804/651,944
  6. Step 6: Final answer
    x = 1,525,596.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.