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Finding the Third Proportional to 565,592 and 1,334,020

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Solution

The third proportional to 565,592 and 1,334,020 is: 3,146,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,592 : 1,334,020 = 1,334,020 : x
  2. Step 2: Convert to fraction form
    565,592/1,334,020 = 1,334,020/x
  3. Step 3: Cross multiply
    565,592x = 1,334,020 × 1,334,020
  4. Step 4: Simplify right side
    565,592x = 1,779,609,360,400
  5. Step 5: Solve for x
    x = 1,779,609,360,400/565,592
  6. Step 6: Final answer
    x = 3,146,454.26

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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.