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Finding the Third Proportional to 826,579.13 and 1,791,095.63

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Solution

The third proportional to 826,579.13 and 1,791,095.63 is: 3,881,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,579.13 : 1,791,095.63 = 1,791,095.63 : x
  2. Step 2: Convert to fraction form
    826,579.13/1,791,095.63 = 1,791,095.63/x
  3. Step 3: Cross multiply
    826,579.13x = 1,791,095.63 × 1,791,095.63
  4. Step 4: Simplify right side
    826,579.13x = 3,208,023,537,894.14
  5. Step 5: Solve for x
    x = 3,208,023,537,894.14/826,579.13
  6. Step 6: Final answer
    x = 3,881,084.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.