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Finding the Third Proportional to 774,300 and 1,697,301

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Solution

The third proportional to 774,300 and 1,697,301 is: 3,720,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,300 : 1,697,301 = 1,697,301 : x
  2. Step 2: Convert to fraction form
    774,300/1,697,301 = 1,697,301/x
  3. Step 3: Cross multiply
    774,300x = 1,697,301 × 1,697,301
  4. Step 4: Simplify right side
    774,300x = 2,880,830,684,601
  5. Step 5: Solve for x
    x = 2,880,830,684,601/774,300
  6. Step 6: Final answer
    x = 3,720,561.39

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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.