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Finding the Third Proportional to 456,392 and 1,017,724

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Solution

The third proportional to 456,392 and 1,017,724 is: 2,269,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,392 : 1,017,724 = 1,017,724 : x
  2. Step 2: Convert to fraction form
    456,392/1,017,724 = 1,017,724/x
  3. Step 3: Cross multiply
    456,392x = 1,017,724 × 1,017,724
  4. Step 4: Simplify right side
    456,392x = 1,035,762,140,176
  5. Step 5: Solve for x
    x = 1,035,762,140,176/456,392
  6. Step 6: Final answer
    x = 2,269,457.27

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.