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Finding the Third Proportional to 486,114,941 and 1,064,434,882

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Solution

The third proportional to 486,114,941 and 1,064,434,882 is: 2,330,768,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,114,941 : 1,064,434,882 = 1,064,434,882 : x
  2. Step 2: Convert to fraction form
    486,114,941/1,064,434,882 = 1,064,434,882/x
  3. Step 3: Cross multiply
    486,114,941x = 1,064,434,882 × 1,064,434,882
  4. Step 4: Simplify right side
    486,114,941x = 1,133,021,618,018,353,920
  5. Step 5: Solve for x
    x = 1,133,021,618,018,353,920/486,114,941
  6. Step 6: Final answer
    x = 2,330,768,965.23

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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.