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Finding the Third Proportional to 296,887,782 and 614,140,908

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Solution

The third proportional to 296,887,782 and 614,140,908 is: 1,270,409,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,887,782 : 614,140,908 = 614,140,908 : x
  2. Step 2: Convert to fraction form
    296,887,782/614,140,908 = 614,140,908/x
  3. Step 3: Cross multiply
    296,887,782x = 614,140,908 × 614,140,908
  4. Step 4: Simplify right side
    296,887,782x = 377,169,054,879,064,448
  5. Step 5: Solve for x
    x = 377,169,054,879,064,448/296,887,782
  6. Step 6: Final answer
    x = 1,270,409,487.17

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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.