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Finding the Third Proportional to 1,800,578 and 2,851,203

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Solution

The third proportional to 1,800,578 and 2,851,203 is: 4,514,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,578 : 2,851,203 = 2,851,203 : x
  2. Step 2: Convert to fraction form
    1,800,578/2,851,203 = 2,851,203/x
  3. Step 3: Cross multiply
    1,800,578x = 2,851,203 × 2,851,203
  4. Step 4: Simplify right side
    1,800,578x = 8,129,358,547,209
  5. Step 5: Solve for x
    x = 8,129,358,547,209/1,800,578
  6. Step 6: Final answer
    x = 4,514,860.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.