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Finding the Third Proportional to 479,180,214 and 736,079,484

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Solution

The third proportional to 479,180,214 and 736,079,484 is: 1,130,708,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,180,214 : 736,079,484 = 736,079,484 : x
  2. Step 2: Convert to fraction form
    479,180,214/736,079,484 = 736,079,484/x
  3. Step 3: Cross multiply
    479,180,214x = 736,079,484 × 736,079,484
  4. Step 4: Simplify right side
    479,180,214x = 541,813,006,765,706,240
  5. Step 5: Solve for x
    x = 541,813,006,765,706,240/479,180,214
  6. Step 6: Final answer
    x = 1,130,708,219.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.