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Finding the Third Proportional to 701,352 and 1,514,613.50

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Solution

The third proportional to 701,352 and 1,514,613.50 is: 3,270,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,352 : 1,514,613.50 = 1,514,613.50 : x
  2. Step 2: Convert to fraction form
    701,352/1,514,613.50 = 1,514,613.50/x
  3. Step 3: Cross multiply
    701,352x = 1,514,613.50 × 1,514,613.50
  4. Step 4: Simplify right side
    701,352x = 2,294,054,054,382.25
  5. Step 5: Solve for x
    x = 2,294,054,054,382.25/701,352
  6. Step 6: Final answer
    x = 3,270,902.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.