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Finding the Third Proportional to 1,696,810.50 and 3,659,301

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Solution

The third proportional to 1,696,810.50 and 3,659,301 is: 7,891,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,810.50 : 3,659,301 = 3,659,301 : x
  2. Step 2: Convert to fraction form
    1,696,810.50/3,659,301 = 3,659,301/x
  3. Step 3: Cross multiply
    1,696,810.50x = 3,659,301 × 3,659,301
  4. Step 4: Simplify right side
    1,696,810.50x = 13,390,483,808,601
  5. Step 5: Solve for x
    x = 13,390,483,808,601/1,696,810.50
  6. Step 6: Final answer
    x = 7,891,561.14

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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.