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Finding the Third Proportional to 670,412.63 and 1,466,157

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Solution

The third proportional to 670,412.63 and 1,466,157 is: 3,206,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,412.63 : 1,466,157 = 1,466,157 : x
  2. Step 2: Convert to fraction form
    670,412.63/1,466,157 = 1,466,157/x
  3. Step 3: Cross multiply
    670,412.63x = 1,466,157 × 1,466,157
  4. Step 4: Simplify right side
    670,412.63x = 2,149,616,348,649
  5. Step 5: Solve for x
    x = 2,149,616,348,649/670,412.63
  6. Step 6: Final answer
    x = 3,206,407.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.