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Finding the Third Proportional to 784,022,160 and 1,706,307,492

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Solution

The third proportional to 784,022,160 and 1,706,307,492 is: 3,713,524,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,022,160 : 1,706,307,492 = 1,706,307,492 : x
  2. Step 2: Convert to fraction form
    784,022,160/1,706,307,492 = 1,706,307,492/x
  3. Step 3: Cross multiply
    784,022,160x = 1,706,307,492 × 1,706,307,492
  4. Step 4: Simplify right side
    784,022,160x = 2,911,485,257,255,330,304
  5. Step 5: Solve for x
    x = 2,911,485,257,255,330,304/784,022,160
  6. Step 6: Final answer
    x = 3,713,524,190.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.