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Finding the Third Proportional to 461,973,148 and 962,160,840

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Solution

The third proportional to 461,973,148 and 962,160,840 is: 2,003,911,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,973,148 : 962,160,840 = 962,160,840 : x
  2. Step 2: Convert to fraction form
    461,973,148/962,160,840 = 962,160,840/x
  3. Step 3: Cross multiply
    461,973,148x = 962,160,840 × 962,160,840
  4. Step 4: Simplify right side
    461,973,148x = 925,753,482,029,505,536
  5. Step 5: Solve for x
    x = 925,753,482,029,505,536/461,973,148
  6. Step 6: Final answer
    x = 2,003,911,885.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.