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Finding the Third Proportional to 389,050,491 and 833,702,998

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Solution

The third proportional to 389,050,491 and 833,702,998 is: 1,786,556,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,050,491 : 833,702,998 = 833,702,998 : x
  2. Step 2: Convert to fraction form
    389,050,491/833,702,998 = 833,702,998/x
  3. Step 3: Cross multiply
    389,050,491x = 833,702,998 × 833,702,998
  4. Step 4: Simplify right side
    389,050,491x = 695,060,688,874,188,032
  5. Step 5: Solve for x
    x = 695,060,688,874,188,032/389,050,491
  6. Step 6: Final answer
    x = 1,786,556,513.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.