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Finding the Third Proportional to 646,790.63 and 1,360,609.88

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Solution

The third proportional to 646,790.63 and 1,360,609.88 is: 2,862,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,790.63 : 1,360,609.88 = 1,360,609.88 : x
  2. Step 2: Convert to fraction form
    646,790.63/1,360,609.88 = 1,360,609.88/x
  3. Step 3: Cross multiply
    646,790.63x = 1,360,609.88 × 1,360,609.88
  4. Step 4: Simplify right side
    646,790.63x = 1,851,259,231,947.52
  5. Step 5: Solve for x
    x = 1,851,259,231,947.52/646,790.63
  6. Step 6: Final answer
    x = 2,862,223.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.