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Finding the Third Proportional to 706,266 and 1,569,451.50

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Solution

The third proportional to 706,266 and 1,569,451.50 is: 3,487,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,266 : 1,569,451.50 = 1,569,451.50 : x
  2. Step 2: Convert to fraction form
    706,266/1,569,451.50 = 1,569,451.50/x
  3. Step 3: Cross multiply
    706,266x = 1,569,451.50 × 1,569,451.50
  4. Step 4: Simplify right side
    706,266x = 2,463,178,010,852.25
  5. Step 5: Solve for x
    x = 2,463,178,010,852.25/706,266
  6. Step 6: Final answer
    x = 3,487,606.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.