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Finding the Third Proportional to 536,583 and 1,166,352

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Solution

The third proportional to 536,583 and 1,166,352 is: 2,535,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,583 : 1,166,352 = 1,166,352 : x
  2. Step 2: Convert to fraction form
    536,583/1,166,352 = 1,166,352/x
  3. Step 3: Cross multiply
    536,583x = 1,166,352 × 1,166,352
  4. Step 4: Simplify right side
    536,583x = 1,360,376,987,904
  5. Step 5: Solve for x
    x = 1,360,376,987,904/536,583
  6. Step 6: Final answer
    x = 2,535,259.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.