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Finding the Third Proportional to 4,497,302.25 and 6,409,565.44

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Solution

The third proportional to 4,497,302.25 and 6,409,565.44 is: 9,134,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,302.25 : 6,409,565.44 = 6,409,565.44 : x
  2. Step 2: Convert to fraction form
    4,497,302.25/6,409,565.44 = 6,409,565.44/x
  3. Step 3: Cross multiply
    4,497,302.25x = 6,409,565.44 × 6,409,565.44
  4. Step 4: Simplify right side
    4,497,302.25x = 41,082,529,097,594.56
  5. Step 5: Solve for x
    x = 41,082,529,097,594.56/4,497,302.25
  6. Step 6: Final answer
    x = 9,134,927.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.