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Finding the Third Proportional to 1,029,515 and 1,565,263

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Solution

The third proportional to 1,029,515 and 1,565,263 is: 2,379,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,515 : 1,565,263 = 1,565,263 : x
  2. Step 2: Convert to fraction form
    1,029,515/1,565,263 = 1,565,263/x
  3. Step 3: Cross multiply
    1,029,515x = 1,565,263 × 1,565,263
  4. Step 4: Simplify right side
    1,029,515x = 2,450,048,259,169
  5. Step 5: Solve for x
    x = 2,450,048,259,169/1,029,515
  6. Step 6: Final answer
    x = 2,379,808.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.