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Finding the Third Proportional to 462,848 and 1,014,472

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Solution

The third proportional to 462,848 and 1,014,472 is: 2,223,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,848 : 1,014,472 = 1,014,472 : x
  2. Step 2: Convert to fraction form
    462,848/1,014,472 = 1,014,472/x
  3. Step 3: Cross multiply
    462,848x = 1,014,472 × 1,014,472
  4. Step 4: Simplify right side
    462,848x = 1,029,153,438,784
  5. Step 5: Solve for x
    x = 1,029,153,438,784/462,848
  6. Step 6: Final answer
    x = 2,223,523.57

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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.