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Finding the Third Proportional to 565,584 and 1,334,000

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Solution

The third proportional to 565,584 and 1,334,000 is: 3,146,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584 : 1,334,000 = 1,334,000 : x
  2. Step 2: Convert to fraction form
    565,584/1,334,000 = 1,334,000/x
  3. Step 3: Cross multiply
    565,584x = 1,334,000 × 1,334,000
  4. Step 4: Simplify right side
    565,584x = 1,779,556,000,000
  5. Step 5: Solve for x
    x = 1,779,556,000,000/565,584
  6. Step 6: Final answer
    x = 3,146,404.42

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.