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Finding the Third Proportional to 1,596,464 and 2,411,283

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Solution

The third proportional to 1,596,464 and 2,411,283 is: 3,641,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,464 : 2,411,283 = 2,411,283 : x
  2. Step 2: Convert to fraction form
    1,596,464/2,411,283 = 2,411,283/x
  3. Step 3: Cross multiply
    1,596,464x = 2,411,283 × 2,411,283
  4. Step 4: Simplify right side
    1,596,464x = 5,814,285,706,089
  5. Step 5: Solve for x
    x = 5,814,285,706,089/1,596,464
  6. Step 6: Final answer
    x = 3,641,977.34

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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.