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Finding the Third Proportional to 1,104,255 and 1,649,785.50

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Solution

The third proportional to 1,104,255 and 1,649,785.50 is: 2,464,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,255 : 1,649,785.50 = 1,649,785.50 : x
  2. Step 2: Convert to fraction form
    1,104,255/1,649,785.50 = 1,649,785.50/x
  3. Step 3: Cross multiply
    1,104,255x = 1,649,785.50 × 1,649,785.50
  4. Step 4: Simplify right side
    1,104,255x = 2,721,792,196,010.25
  5. Step 5: Solve for x
    x = 2,721,792,196,010.25/1,104,255
  6. Step 6: Final answer
    x = 2,464,822.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.