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Finding the Third Proportional to 1,657,751.70 and 3,567,606.40

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Solution

The third proportional to 1,657,751.70 and 3,567,606.40 is: 7,677,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,751.70 : 3,567,606.40 = 3,567,606.40 : x
  2. Step 2: Convert to fraction form
    1,657,751.70/3,567,606.40 = 3,567,606.40/x
  3. Step 3: Cross multiply
    1,657,751.70x = 3,567,606.40 × 3,567,606.40
  4. Step 4: Simplify right side
    1,657,751.70x = 12,727,815,414,172.19
  5. Step 5: Solve for x
    x = 12,727,815,414,172.19/1,657,751.70
  6. Step 6: Final answer
    x = 7,677,757.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.