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Finding the Third Proportional to 1,586,820 and 3,488,532

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Solution

The third proportional to 1,586,820 and 3,488,532 is: 7,669,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,820 : 3,488,532 = 3,488,532 : x
  2. Step 2: Convert to fraction form
    1,586,820/3,488,532 = 3,488,532/x
  3. Step 3: Cross multiply
    1,586,820x = 3,488,532 × 3,488,532
  4. Step 4: Simplify right side
    1,586,820x = 12,169,855,515,024
  5. Step 5: Solve for x
    x = 12,169,855,515,024/1,586,820
  6. Step 6: Final answer
    x = 7,669,335.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.