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Finding the Third Proportional to 608,529,414 and 909,211,920

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Solution

The third proportional to 608,529,414 and 909,211,920 is: 1,358,465,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,529,414 : 909,211,920 = 909,211,920 : x
  2. Step 2: Convert to fraction form
    608,529,414/909,211,920 = 909,211,920/x
  3. Step 3: Cross multiply
    608,529,414x = 909,211,920 × 909,211,920
  4. Step 4: Simplify right side
    608,529,414x = 826,666,315,470,086,400
  5. Step 5: Solve for x
    x = 826,666,315,470,086,400/608,529,414
  6. Step 6: Final answer
    x = 1,358,465,665.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.