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Finding the Third Proportional to 296,887,770 and 614,140,884

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Solution

The third proportional to 296,887,770 and 614,140,884 is: 1,270,409,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,770 : 614,140,884 = 614,140,884 : x
  2. Step 2: Convert to fraction form
    296,887,770/614,140,884 = 614,140,884/x
  3. Step 3: Cross multiply
    296,887,770x = 614,140,884 × 614,140,884
  4. Step 4: Simplify right side
    296,887,770x = 377,169,025,400,301,440
  5. Step 5: Solve for x
    x = 377,169,025,400,301,440/296,887,770
  6. Step 6: Final answer
    x = 1,270,409,439.23

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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.