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Finding the Third Proportional to 704,074 and 1,514,282

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Solution

The third proportional to 704,074 and 1,514,282 is: 3,256,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,074 : 1,514,282 = 1,514,282 : x
  2. Step 2: Convert to fraction form
    704,074/1,514,282 = 1,514,282/x
  3. Step 3: Cross multiply
    704,074x = 1,514,282 × 1,514,282
  4. Step 4: Simplify right side
    704,074x = 2,293,049,975,524
  5. Step 5: Solve for x
    x = 2,293,049,975,524/704,074
  6. Step 6: Final answer
    x = 3,256,830.92

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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.