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Finding the Third Proportional to 646,548.75 and 1,385,994.38

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Solution

The third proportional to 646,548.75 and 1,385,994.38 is: 2,971,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,548.75 : 1,385,994.38 = 1,385,994.38 : x
  2. Step 2: Convert to fraction form
    646,548.75/1,385,994.38 = 1,385,994.38/x
  3. Step 3: Cross multiply
    646,548.75x = 1,385,994.38 × 1,385,994.38
  4. Step 4: Simplify right side
    646,548.75x = 1,920,980,407,531.64
  5. Step 5: Solve for x
    x = 1,920,980,407,531.64/646,548.75
  6. Step 6: Final answer
    x = 2,971,130.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.