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Finding the Third Proportional to 1,173,814 and 2,473,713

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Solution

The third proportional to 1,173,814 and 2,473,713 is: 5,213,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,814 : 2,473,713 = 2,473,713 : x
  2. Step 2: Convert to fraction form
    1,173,814/2,473,713 = 2,473,713/x
  3. Step 3: Cross multiply
    1,173,814x = 2,473,713 × 2,473,713
  4. Step 4: Simplify right side
    1,173,814x = 6,119,256,006,369
  5. Step 5: Solve for x
    x = 6,119,256,006,369/1,173,814
  6. Step 6: Final answer
    x = 5,213,139.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.