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Finding the Third Proportional to 632,994 and 1,365,861

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Solution

The third proportional to 632,994 and 1,365,861 is: 2,947,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,994 : 1,365,861 = 1,365,861 : x
  2. Step 2: Convert to fraction form
    632,994/1,365,861 = 1,365,861/x
  3. Step 3: Cross multiply
    632,994x = 1,365,861 × 1,365,861
  4. Step 4: Simplify right side
    632,994x = 1,865,576,271,321
  5. Step 5: Solve for x
    x = 1,865,576,271,321/632,994
  6. Step 6: Final answer
    x = 2,947,225.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.