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Finding the Third Proportional to 1,182,953 and 2,565,207

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Solution

The third proportional to 1,182,953 and 2,565,207 is: 5,562,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,953 : 2,565,207 = 2,565,207 : x
  2. Step 2: Convert to fraction form
    1,182,953/2,565,207 = 2,565,207/x
  3. Step 3: Cross multiply
    1,182,953x = 2,565,207 × 2,565,207
  4. Step 4: Simplify right side
    1,182,953x = 6,580,286,952,849
  5. Step 5: Solve for x
    x = 6,580,286,952,849/1,182,953
  6. Step 6: Final answer
    x = 5,562,593.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.