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Finding the Third Proportional to 647,388 and 980,075

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Solution

The third proportional to 647,388 and 980,075 is: 1,483,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,388 : 980,075 = 980,075 : x
  2. Step 2: Convert to fraction form
    647,388/980,075 = 980,075/x
  3. Step 3: Cross multiply
    647,388x = 980,075 × 980,075
  4. Step 4: Simplify right side
    647,388x = 960,547,005,625
  5. Step 5: Solve for x
    x = 960,547,005,625/647,388
  6. Step 6: Final answer
    x = 1,483,726.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.