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Finding the Third Proportional to 661,459.50 and 1,402,401

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Solution

The third proportional to 661,459.50 and 1,402,401 is: 2,973,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,459.50 : 1,402,401 = 1,402,401 : x
  2. Step 2: Convert to fraction form
    661,459.50/1,402,401 = 1,402,401/x
  3. Step 3: Cross multiply
    661,459.50x = 1,402,401 × 1,402,401
  4. Step 4: Simplify right side
    661,459.50x = 1,966,728,564,801
  5. Step 5: Solve for x
    x = 1,966,728,564,801/661,459.50
  6. Step 6: Final answer
    x = 2,973,316.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.