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Finding the Third Proportional to 462,447 and 1,008,929.25

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Solution

The third proportional to 462,447 and 1,008,929.25 is: 2,201,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,447 : 1,008,929.25 = 1,008,929.25 : x
  2. Step 2: Convert to fraction form
    462,447/1,008,929.25 = 1,008,929.25/x
  3. Step 3: Cross multiply
    462,447x = 1,008,929.25 × 1,008,929.25
  4. Step 4: Simplify right side
    462,447x = 1,017,938,231,505.56
  5. Step 5: Solve for x
    x = 1,017,938,231,505.56/462,447
  6. Step 6: Final answer
    x = 2,201,199.77

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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.