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Finding the Third Proportional to 481,051 and 1,038,374

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Solution

The third proportional to 481,051 and 1,038,374 is: 2,241,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,051 : 1,038,374 = 1,038,374 : x
  2. Step 2: Convert to fraction form
    481,051/1,038,374 = 1,038,374/x
  3. Step 3: Cross multiply
    481,051x = 1,038,374 × 1,038,374
  4. Step 4: Simplify right side
    481,051x = 1,078,220,563,876
  5. Step 5: Solve for x
    x = 1,078,220,563,876/481,051
  6. Step 6: Final answer
    x = 2,241,385.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.