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Finding the Third Proportional to 1,230,472 and 1,925,852.75

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Solution

The third proportional to 1,230,472 and 1,925,852.75 is: 3,014,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,472 : 1,925,852.75 = 1,925,852.75 : x
  2. Step 2: Convert to fraction form
    1,230,472/1,925,852.75 = 1,925,852.75/x
  3. Step 3: Cross multiply
    1,230,472x = 1,925,852.75 × 1,925,852.75
  4. Step 4: Simplify right side
    1,230,472x = 3,708,908,814,682.56
  5. Step 5: Solve for x
    x = 3,708,908,814,682.56/1,230,472
  6. Step 6: Final answer
    x = 3,014,216.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.