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Finding the Third Proportional to 857,656 and 1,295,220

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Solution

The third proportional to 857,656 and 1,295,220 is: 1,956,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,656 : 1,295,220 = 1,295,220 : x
  2. Step 2: Convert to fraction form
    857,656/1,295,220 = 1,295,220/x
  3. Step 3: Cross multiply
    857,656x = 1,295,220 × 1,295,220
  4. Step 4: Simplify right side
    857,656x = 1,677,594,848,400
  5. Step 5: Solve for x
    x = 1,677,594,848,400/857,656
  6. Step 6: Final answer
    x = 1,956,022.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.