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Finding the Third Proportional to 964,308 and 2,100,052

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Solution

The third proportional to 964,308 and 2,100,052 is: 4,573,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,308 : 2,100,052 = 2,100,052 : x
  2. Step 2: Convert to fraction form
    964,308/2,100,052 = 2,100,052/x
  3. Step 3: Cross multiply
    964,308x = 2,100,052 × 2,100,052
  4. Step 4: Simplify right side
    964,308x = 4,410,218,402,704
  5. Step 5: Solve for x
    x = 4,410,218,402,704/964,308
  6. Step 6: Final answer
    x = 4,573,454.13

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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.