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Finding the Third Proportional to 546,515 and 1,201,492

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Solution

The third proportional to 546,515 and 1,201,492 is: 2,641,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,515 : 1,201,492 = 1,201,492 : x
  2. Step 2: Convert to fraction form
    546,515/1,201,492 = 1,201,492/x
  3. Step 3: Cross multiply
    546,515x = 1,201,492 × 1,201,492
  4. Step 4: Simplify right side
    546,515x = 1,443,583,026,064
  5. Step 5: Solve for x
    x = 1,443,583,026,064/546,515
  6. Step 6: Final answer
    x = 2,641,433.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.