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Finding the Third Proportional to 1,252,324.13 and 2,681,734.50

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Solution

The third proportional to 1,252,324.13 and 2,681,734.50 is: 5,742,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,324.13 : 2,681,734.50 = 2,681,734.50 : x
  2. Step 2: Convert to fraction form
    1,252,324.13/2,681,734.50 = 2,681,734.50/x
  3. Step 3: Cross multiply
    1,252,324.13x = 2,681,734.50 × 2,681,734.50
  4. Step 4: Simplify right side
    1,252,324.13x = 7,191,699,928,490.25
  5. Step 5: Solve for x
    x = 7,191,699,928,490.25/1,252,324.13
  6. Step 6: Final answer
    x = 5,742,682.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.