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Finding the Third Proportional to 653,401.69 and 1,401,345.56

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Solution

The third proportional to 653,401.69 and 1,401,345.56 is: 3,005,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,401.69 : 1,401,345.56 = 1,401,345.56 : x
  2. Step 2: Convert to fraction form
    653,401.69/1,401,345.56 = 1,401,345.56/x
  3. Step 3: Cross multiply
    653,401.69x = 1,401,345.56 × 1,401,345.56
  4. Step 4: Simplify right side
    653,401.69x = 1,963,769,385,538.44
  5. Step 5: Solve for x
    x = 1,963,769,385,538.44/653,401.69
  6. Step 6: Final answer
    x = 3,005,455.03

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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.