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Finding the Third Proportional to 614,684,322 and 1,341,701,604

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Solution

The third proportional to 614,684,322 and 1,341,701,604 is: 2,928,597,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,684,322 : 1,341,701,604 = 1,341,701,604 : x
  2. Step 2: Convert to fraction form
    614,684,322/1,341,701,604 = 1,341,701,604/x
  3. Step 3: Cross multiply
    614,684,322x = 1,341,701,604 × 1,341,701,604
  4. Step 4: Simplify right side
    614,684,322x = 1,800,163,194,176,172,800
  5. Step 5: Solve for x
    x = 1,800,163,194,176,172,800/614,684,322
  6. Step 6: Final answer
    x = 2,928,597,866.82

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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.