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Finding the Third Proportional to 788,792.86 and 1,703,699.16

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Solution

The third proportional to 788,792.86 and 1,703,699.16 is: 3,679,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,792.86 : 1,703,699.16 = 1,703,699.16 : x
  2. Step 2: Convert to fraction form
    788,792.86/1,703,699.16 = 1,703,699.16/x
  3. Step 3: Cross multiply
    788,792.86x = 1,703,699.16 × 1,703,699.16
  4. Step 4: Simplify right side
    788,792.86x = 2,902,590,837,468.19
  5. Step 5: Solve for x
    x = 2,902,590,837,468.19/788,792.86
  6. Step 6: Final answer
    x = 3,679,788.42

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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.