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Finding the Third Proportional to 1,584,407.25 and 3,421,379.25

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Solution

The third proportional to 1,584,407.25 and 3,421,379.25 is: 7,388,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,407.25 : 3,421,379.25 = 3,421,379.25 : x
  2. Step 2: Convert to fraction form
    1,584,407.25/3,421,379.25 = 3,421,379.25/x
  3. Step 3: Cross multiply
    1,584,407.25x = 3,421,379.25 × 3,421,379.25
  4. Step 4: Simplify right side
    1,584,407.25x = 11,705,835,972,330.56
  5. Step 5: Solve for x
    x = 11,705,835,972,330.56/1,584,407.25
  6. Step 6: Final answer
    x = 7,388,148.45

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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.