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Finding the Third Proportional to 1,696,916.25 and 3,659,492.25

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Solution

The third proportional to 1,696,916.25 and 3,659,492.25 is: 7,891,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,916.25 : 3,659,492.25 = 3,659,492.25 : x
  2. Step 2: Convert to fraction form
    1,696,916.25/3,659,492.25 = 3,659,492.25/x
  3. Step 3: Cross multiply
    1,696,916.25x = 3,659,492.25 × 3,659,492.25
  4. Step 4: Simplify right side
    1,696,916.25x = 13,391,883,527,810.06
  5. Step 5: Solve for x
    x = 13,391,883,527,810.06/1,696,916.25
  6. Step 6: Final answer
    x = 7,891,894.21

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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.