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Finding the Third Proportional to 296,887,774 and 614,140,892

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Solution

The third proportional to 296,887,774 and 614,140,892 is: 1,270,409,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,774 : 614,140,892 = 614,140,892 : x
  2. Step 2: Convert to fraction form
    296,887,774/614,140,892 = 614,140,892/x
  3. Step 3: Cross multiply
    296,887,774x = 614,140,892 × 614,140,892
  4. Step 4: Simplify right side
    296,887,774x = 377,169,035,226,555,648
  5. Step 5: Solve for x
    x = 377,169,035,226,555,648/296,887,774
  6. Step 6: Final answer
    x = 1,270,409,455.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.