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Finding the Third Proportional to 1,410,588 and 3,329,316

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Solution

The third proportional to 1,410,588 and 3,329,316 is: 7,857,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,588 : 3,329,316 = 3,329,316 : x
  2. Step 2: Convert to fraction form
    1,410,588/3,329,316 = 3,329,316/x
  3. Step 3: Cross multiply
    1,410,588x = 3,329,316 × 3,329,316
  4. Step 4: Simplify right side
    1,410,588x = 11,084,345,027,856
  5. Step 5: Solve for x
    x = 11,084,345,027,856/1,410,588
  6. Step 6: Final answer
    x = 7,857,960.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.