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Finding the Third Proportional to 1,596,462 and 2,411,280

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Solution

The third proportional to 1,596,462 and 2,411,280 is: 3,641,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,462 : 2,411,280 = 2,411,280 : x
  2. Step 2: Convert to fraction form
    1,596,462/2,411,280 = 2,411,280/x
  3. Step 3: Cross multiply
    1,596,462x = 2,411,280 × 2,411,280
  4. Step 4: Simplify right side
    1,596,462x = 5,814,271,238,400
  5. Step 5: Solve for x
    x = 5,814,271,238,400/1,596,462
  6. Step 6: Final answer
    x = 3,641,972.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.