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Finding the Third Proportional to 668,614 and 1,459,160

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Solution

The third proportional to 668,614 and 1,459,160 is: 3,184,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,614 : 1,459,160 = 1,459,160 : x
  2. Step 2: Convert to fraction form
    668,614/1,459,160 = 1,459,160/x
  3. Step 3: Cross multiply
    668,614x = 1,459,160 × 1,459,160
  4. Step 4: Simplify right side
    668,614x = 2,129,147,905,600
  5. Step 5: Solve for x
    x = 2,129,147,905,600/668,614
  6. Step 6: Final answer
    x = 3,184,420.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.