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Finding the Third Proportional to 964,532 and 2,095,114

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Solution

The third proportional to 964,532 and 2,095,114 is: 4,550,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,532 : 2,095,114 = 2,095,114 : x
  2. Step 2: Convert to fraction form
    964,532/2,095,114 = 2,095,114/x
  3. Step 3: Cross multiply
    964,532x = 2,095,114 × 2,095,114
  4. Step 4: Simplify right side
    964,532x = 4,389,502,672,996
  5. Step 5: Solve for x
    x = 4,389,502,672,996/964,532
  6. Step 6: Final answer
    x = 4,550,914.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.