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Finding the Third Proportional to 510,145.75 and 1,112,147.75

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Solution

The third proportional to 510,145.75 and 1,112,147.75 is: 2,424,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,145.75 : 1,112,147.75 = 1,112,147.75 : x
  2. Step 2: Convert to fraction form
    510,145.75/1,112,147.75 = 1,112,147.75/x
  3. Step 3: Cross multiply
    510,145.75x = 1,112,147.75 × 1,112,147.75
  4. Step 4: Simplify right side
    510,145.75x = 1,236,872,617,830.06
  5. Step 5: Solve for x
    x = 1,236,872,617,830.06/510,145.75
  6. Step 6: Final answer
    x = 2,424,547.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.