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Finding the Third Proportional to 565,594 and 1,334,025

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Solution

The third proportional to 565,594 and 1,334,025 is: 3,146,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,594 : 1,334,025 = 1,334,025 : x
  2. Step 2: Convert to fraction form
    565,594/1,334,025 = 1,334,025/x
  3. Step 3: Cross multiply
    565,594x = 1,334,025 × 1,334,025
  4. Step 4: Simplify right side
    565,594x = 1,779,622,700,625
  5. Step 5: Solve for x
    x = 1,779,622,700,625/565,594
  6. Step 6: Final answer
    x = 3,146,466.72

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Why These Related Problems?

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