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Finding the Third Proportional to 470,859,594 and 1,099,790,583

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Solution

The third proportional to 470,859,594 and 1,099,790,583 is: 2,568,789,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,859,594 : 1,099,790,583 = 1,099,790,583 : x
  2. Step 2: Convert to fraction form
    470,859,594/1,099,790,583 = 1,099,790,583/x
  3. Step 3: Cross multiply
    470,859,594x = 1,099,790,583 × 1,099,790,583
  4. Step 4: Simplify right side
    470,859,594x = 1,209,539,326,455,479,808
  5. Step 5: Solve for x
    x = 1,209,539,326,455,479,808/470,859,594
  6. Step 6: Final answer
    x = 2,568,789,808.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.