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Finding the Third Proportional to 506,398 and 1,109,420

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Solution

The third proportional to 506,398 and 1,109,420 is: 2,430,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,398 : 1,109,420 = 1,109,420 : x
  2. Step 2: Convert to fraction form
    506,398/1,109,420 = 1,109,420/x
  3. Step 3: Cross multiply
    506,398x = 1,109,420 × 1,109,420
  4. Step 4: Simplify right side
    506,398x = 1,230,812,736,400
  5. Step 5: Solve for x
    x = 1,230,812,736,400/506,398
  6. Step 6: Final answer
    x = 2,430,524.48

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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.