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Finding the Third Proportional to 521,690.63 and 1,099,423.13

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Solution

The third proportional to 521,690.63 and 1,099,423.13 is: 2,316,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,690.63 : 1,099,423.13 = 1,099,423.13 : x
  2. Step 2: Convert to fraction form
    521,690.63/1,099,423.13 = 1,099,423.13/x
  3. Step 3: Cross multiply
    521,690.63x = 1,099,423.13 × 1,099,423.13
  4. Step 4: Simplify right side
    521,690.63x = 1,208,731,207,784.77
  5. Step 5: Solve for x
    x = 1,208,731,207,784.77/521,690.63
  6. Step 6: Final answer
    x = 2,316,950.22

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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.