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Finding the Third Proportional to 1,596,832 and 3,502,815

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Solution

The third proportional to 1,596,832 and 3,502,815 is: 7,683,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,832 : 3,502,815 = 3,502,815 : x
  2. Step 2: Convert to fraction form
    1,596,832/3,502,815 = 3,502,815/x
  3. Step 3: Cross multiply
    1,596,832x = 3,502,815 × 3,502,815
  4. Step 4: Simplify right side
    1,596,832x = 12,269,712,924,225
  5. Step 5: Solve for x
    x = 12,269,712,924,225/1,596,832
  6. Step 6: Final answer
    x = 7,683,784.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.