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Finding the Third Proportional to 518,536 and 1,118,000

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Solution

The third proportional to 518,536 and 1,118,000 is: 2,410,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,536 : 1,118,000 = 1,118,000 : x
  2. Step 2: Convert to fraction form
    518,536/1,118,000 = 1,118,000/x
  3. Step 3: Cross multiply
    518,536x = 1,118,000 × 1,118,000
  4. Step 4: Simplify right side
    518,536x = 1,249,924,000,000
  5. Step 5: Solve for x
    x = 1,249,924,000,000/518,536
  6. Step 6: Final answer
    x = 2,410,486.45

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