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Finding the Third Proportional to 666,528.75 and 1,459,630.13

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Solution

The third proportional to 666,528.75 and 1,459,630.13 is: 3,196,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,528.75 : 1,459,630.13 = 1,459,630.13 : x
  2. Step 2: Convert to fraction form
    666,528.75/1,459,630.13 = 1,459,630.13/x
  3. Step 3: Cross multiply
    666,528.75x = 1,459,630.13 × 1,459,630.13
  4. Step 4: Simplify right side
    666,528.75x = 2,130,520,101,807.52
  5. Step 5: Solve for x
    x = 2,130,520,101,807.52/666,528.75
  6. Step 6: Final answer
    x = 3,196,441.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.