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Finding the Third Proportional to 1,106,313.75 and 1,708,602.19

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Solution

The third proportional to 1,106,313.75 and 1,708,602.19 is: 2,638,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,313.75 : 1,708,602.19 = 1,708,602.19 : x
  2. Step 2: Convert to fraction form
    1,106,313.75/1,708,602.19 = 1,708,602.19/x
  3. Step 3: Cross multiply
    1,106,313.75x = 1,708,602.19 × 1,708,602.19
  4. Step 4: Simplify right side
    1,106,313.75x = 2,919,321,435,129.79
  5. Step 5: Solve for x
    x = 2,919,321,435,129.79/1,106,313.75
  6. Step 6: Final answer
    x = 2,638,782.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.