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Finding the Third Proportional to 964,089 and 1,416,303

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Solution

The third proportional to 964,089 and 1,416,303 is: 2,080,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,089 : 1,416,303 = 1,416,303 : x
  2. Step 2: Convert to fraction form
    964,089/1,416,303 = 1,416,303/x
  3. Step 3: Cross multiply
    964,089x = 1,416,303 × 1,416,303
  4. Step 4: Simplify right side
    964,089x = 2,005,914,187,809
  5. Step 5: Solve for x
    x = 2,005,914,187,809/964,089
  6. Step 6: Final answer
    x = 2,080,631.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.