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Finding the Third Proportional to 462,852 and 1,014,480

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Solution

The third proportional to 462,852 and 1,014,480 is: 2,223,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,852 : 1,014,480 = 1,014,480 : x
  2. Step 2: Convert to fraction form
    462,852/1,014,480 = 1,014,480/x
  3. Step 3: Cross multiply
    462,852x = 1,014,480 × 1,014,480
  4. Step 4: Simplify right side
    462,852x = 1,029,169,670,400
  5. Step 5: Solve for x
    x = 1,029,169,670,400/462,852
  6. Step 6: Final answer
    x = 2,223,539.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.