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Finding the Third Proportional to 652,599 and 1,401,601.50

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Solution

The third proportional to 652,599 and 1,401,601.50 is: 3,010,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,599 : 1,401,601.50 = 1,401,601.50 : x
  2. Step 2: Convert to fraction form
    652,599/1,401,601.50 = 1,401,601.50/x
  3. Step 3: Cross multiply
    652,599x = 1,401,601.50 × 1,401,601.50
  4. Step 4: Simplify right side
    652,599x = 1,964,486,764,802.25
  5. Step 5: Solve for x
    x = 1,964,486,764,802.25/652,599
  6. Step 6: Final answer
    x = 3,010,250.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.