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Finding the Third Proportional to 1,033,980 and 1,514,924

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Solution

The third proportional to 1,033,980 and 1,514,924 is: 2,219,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,980 : 1,514,924 = 1,514,924 : x
  2. Step 2: Convert to fraction form
    1,033,980/1,514,924 = 1,514,924/x
  3. Step 3: Cross multiply
    1,033,980x = 1,514,924 × 1,514,924
  4. Step 4: Simplify right side
    1,033,980x = 2,294,994,725,776
  5. Step 5: Solve for x
    x = 2,294,994,725,776/1,033,980
  6. Step 6: Final answer
    x = 2,219,573.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.