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Finding the Third Proportional to 748,514 and 1,636,994

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Solution

The third proportional to 748,514 and 1,636,994 is: 3,580,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,514 : 1,636,994 = 1,636,994 : x
  2. Step 2: Convert to fraction form
    748,514/1,636,994 = 1,636,994/x
  3. Step 3: Cross multiply
    748,514x = 1,636,994 × 1,636,994
  4. Step 4: Simplify right side
    748,514x = 2,679,749,356,036
  5. Step 5: Solve for x
    x = 2,679,749,356,036/748,514
  6. Step 6: Final answer
    x = 3,580,092.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.