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Finding the Third Proportional to 2,400,526.13 and 3,680,969.06

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Solution

The third proportional to 2,400,526.13 and 3,680,969.06 is: 5,644,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,526.13 : 3,680,969.06 = 3,680,969.06 : x
  2. Step 2: Convert to fraction form
    2,400,526.13/3,680,969.06 = 3,680,969.06/x
  3. Step 3: Cross multiply
    2,400,526.13x = 3,680,969.06 × 3,680,969.06
  4. Step 4: Simplify right side
    2,400,526.13x = 13,549,533,239,082.13
  5. Step 5: Solve for x
    x = 13,549,533,239,082.13/2,400,526.13
  6. Step 6: Final answer
    x = 5,644,401.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.