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Finding the Third Proportional to 2,090,520 and 4,579,416

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Solution

The third proportional to 2,090,520 and 4,579,416 is: 10,031,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,520 : 4,579,416 = 4,579,416 : x
  2. Step 2: Convert to fraction form
    2,090,520/4,579,416 = 4,579,416/x
  3. Step 3: Cross multiply
    2,090,520x = 4,579,416 × 4,579,416
  4. Step 4: Simplify right side
    2,090,520x = 20,971,050,901,056
  5. Step 5: Solve for x
    x = 20,971,050,901,056/2,090,520
  6. Step 6: Final answer
    x = 10,031,499.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.