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Finding the Third Proportional to 1,596,456 and 2,411,271

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Solution

The third proportional to 1,596,456 and 2,411,271 is: 3,641,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,456 : 2,411,271 = 2,411,271 : x
  2. Step 2: Convert to fraction form
    1,596,456/2,411,271 = 2,411,271/x
  3. Step 3: Cross multiply
    1,596,456x = 2,411,271 × 2,411,271
  4. Step 4: Simplify right side
    1,596,456x = 5,814,227,835,441
  5. Step 5: Solve for x
    x = 5,814,227,835,441/1,596,456
  6. Step 6: Final answer
    x = 3,641,959.34

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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.