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Finding the Third Proportional to 967,050 and 2,106,148

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Solution

The third proportional to 967,050 and 2,106,148 is: 4,587,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,050 : 2,106,148 = 2,106,148 : x
  2. Step 2: Convert to fraction form
    967,050/2,106,148 = 2,106,148/x
  3. Step 3: Cross multiply
    967,050x = 2,106,148 × 2,106,148
  4. Step 4: Simplify right side
    967,050x = 4,435,859,397,904
  5. Step 5: Solve for x
    x = 4,435,859,397,904/967,050
  6. Step 6: Final answer
    x = 4,587,001.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.