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Finding the Third Proportional to 1,590,710 and 3,433,564

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Solution

The third proportional to 1,590,710 and 3,433,564 is: 7,411,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,710 : 3,433,564 = 3,433,564 : x
  2. Step 2: Convert to fraction form
    1,590,710/3,433,564 = 3,433,564/x
  3. Step 3: Cross multiply
    1,590,710x = 3,433,564 × 3,433,564
  4. Step 4: Simplify right side
    1,590,710x = 11,789,361,742,096
  5. Step 5: Solve for x
    x = 11,789,361,742,096/1,590,710
  6. Step 6: Final answer
    x = 7,411,383.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.