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Finding the Third Proportional to 652,726 and 997,848

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Solution

The third proportional to 652,726 and 997,848 is: 1,525,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,726 : 997,848 = 997,848 : x
  2. Step 2: Convert to fraction form
    652,726/997,848 = 997,848/x
  3. Step 3: Cross multiply
    652,726x = 997,848 × 997,848
  4. Step 4: Simplify right side
    652,726x = 995,700,631,104
  5. Step 5: Solve for x
    x = 995,700,631,104/652,726
  6. Step 6: Final answer
    x = 1,525,449.62

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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.