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Finding the Third Proportional to 711,900 and 1,514,232

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Solution

The third proportional to 711,900 and 1,514,232 is: 3,220,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,900 : 1,514,232 = 1,514,232 : x
  2. Step 2: Convert to fraction form
    711,900/1,514,232 = 1,514,232/x
  3. Step 3: Cross multiply
    711,900x = 1,514,232 × 1,514,232
  4. Step 4: Simplify right side
    711,900x = 2,292,898,549,824
  5. Step 5: Solve for x
    x = 2,292,898,549,824/711,900
  6. Step 6: Final answer
    x = 3,220,815.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.