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Finding the Third Proportional to 670,095 and 1,433,682

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Solution

The third proportional to 670,095 and 1,433,682 is: 3,067,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,095 : 1,433,682 = 1,433,682 : x
  2. Step 2: Convert to fraction form
    670,095/1,433,682 = 1,433,682/x
  3. Step 3: Cross multiply
    670,095x = 1,433,682 × 1,433,682
  4. Step 4: Simplify right side
    670,095x = 2,055,444,077,124
  5. Step 5: Solve for x
    x = 2,055,444,077,124/670,095
  6. Step 6: Final answer
    x = 3,067,392.05

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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.