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Finding the Third Proportional to 514,532 and 1,202,495

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Solution

The third proportional to 514,532 and 1,202,495 is: 2,810,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,532 : 1,202,495 = 1,202,495 : x
  2. Step 2: Convert to fraction form
    514,532/1,202,495 = 1,202,495/x
  3. Step 3: Cross multiply
    514,532x = 1,202,495 × 1,202,495
  4. Step 4: Simplify right side
    514,532x = 1,445,994,225,025
  5. Step 5: Solve for x
    x = 1,445,994,225,025/514,532
  6. Step 6: Final answer
    x = 2,810,309.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.