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Finding the Third Proportional to 1,714,114.50 and 3,656,043

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Solution

The third proportional to 1,714,114.50 and 3,656,043 is: 7,797,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,114.50 : 3,656,043 = 3,656,043 : x
  2. Step 2: Convert to fraction form
    1,714,114.50/3,656,043 = 3,656,043/x
  3. Step 3: Cross multiply
    1,714,114.50x = 3,656,043 × 3,656,043
  4. Step 4: Simplify right side
    1,714,114.50x = 13,366,650,417,849
  5. Step 5: Solve for x
    x = 13,366,650,417,849/1,714,114.50
  6. Step 6: Final answer
    x = 7,797,991.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.