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Finding the Third Proportional to 807,664 and 1,762,028

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Solution

The third proportional to 807,664 and 1,762,028 is: 3,844,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,664 : 1,762,028 = 1,762,028 : x
  2. Step 2: Convert to fraction form
    807,664/1,762,028 = 1,762,028/x
  3. Step 3: Cross multiply
    807,664x = 1,762,028 × 1,762,028
  4. Step 4: Simplify right side
    807,664x = 3,104,742,672,784
  5. Step 5: Solve for x
    x = 3,104,742,672,784/807,664
  6. Step 6: Final answer
    x = 3,844,101.85

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