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Finding the Third Proportional to 1,297,301.06 and 1,977,936.47

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Solution

The third proportional to 1,297,301.06 and 1,977,936.47 is: 3,015,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,301.06 : 1,977,936.47 = 1,977,936.47 : x
  2. Step 2: Convert to fraction form
    1,297,301.06/1,977,936.47 = 1,977,936.47/x
  3. Step 3: Cross multiply
    1,297,301.06x = 1,977,936.47 × 1,977,936.47
  4. Step 4: Simplify right side
    1,297,301.06x = 3,912,232,674,411.22
  5. Step 5: Solve for x
    x = 3,912,232,674,411.22/1,297,301.06
  6. Step 6: Final answer
    x = 3,015,670.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.