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Finding the Third Proportional to 780,084 and 1,237,788

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Solution

The third proportional to 780,084 and 1,237,788 is: 1,964,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,084 : 1,237,788 = 1,237,788 : x
  2. Step 2: Convert to fraction form
    780,084/1,237,788 = 1,237,788/x
  3. Step 3: Cross multiply
    780,084x = 1,237,788 × 1,237,788
  4. Step 4: Simplify right side
    780,084x = 1,532,119,132,944
  5. Step 5: Solve for x
    x = 1,532,119,132,944/780,084
  6. Step 6: Final answer
    x = 1,964,043.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.