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Finding the Third Proportional to 1,031,886 and 1,563,435

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Solution

The third proportional to 1,031,886 and 1,563,435 is: 2,368,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,886 : 1,563,435 = 1,563,435 : x
  2. Step 2: Convert to fraction form
    1,031,886/1,563,435 = 1,563,435/x
  3. Step 3: Cross multiply
    1,031,886x = 1,563,435 × 1,563,435
  4. Step 4: Simplify right side
    1,031,886x = 2,444,328,999,225
  5. Step 5: Solve for x
    x = 2,444,328,999,225/1,031,886
  6. Step 6: Final answer
    x = 2,368,797.52

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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.