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Finding the Third Proportional to 702,454 and 1,511,448

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Solution

The third proportional to 702,454 and 1,511,448 is: 3,252,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,454 : 1,511,448 = 1,511,448 : x
  2. Step 2: Convert to fraction form
    702,454/1,511,448 = 1,511,448/x
  3. Step 3: Cross multiply
    702,454x = 1,511,448 × 1,511,448
  4. Step 4: Simplify right side
    702,454x = 2,284,475,056,704
  5. Step 5: Solve for x
    x = 2,284,475,056,704/702,454
  6. Step 6: Final answer
    x = 3,252,134.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.