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Finding the Third Proportional to 1,010,685.94 and 1,478,409.19

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Solution

The third proportional to 1,010,685.94 and 1,478,409.19 is: 2,162,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,685.94 : 1,478,409.19 = 1,478,409.19 : x
  2. Step 2: Convert to fraction form
    1,010,685.94/1,478,409.19 = 1,478,409.19/x
  3. Step 3: Cross multiply
    1,010,685.94x = 1,478,409.19 × 1,478,409.19
  4. Step 4: Simplify right side
    1,010,685.94x = 2,185,693,725,684.41
  5. Step 5: Solve for x
    x = 2,185,693,725,684.41/1,010,685.94
  6. Step 6: Final answer
    x = 2,162,584.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.