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Finding the Third Proportional to 519,024 and 1,118,076

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Solution

The third proportional to 519,024 and 1,118,076 is: 2,408,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,024 : 1,118,076 = 1,118,076 : x
  2. Step 2: Convert to fraction form
    519,024/1,118,076 = 1,118,076/x
  3. Step 3: Cross multiply
    519,024x = 1,118,076 × 1,118,076
  4. Step 4: Simplify right side
    519,024x = 1,250,093,941,776
  5. Step 5: Solve for x
    x = 1,250,093,941,776/519,024
  6. Step 6: Final answer
    x = 2,408,547.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.