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Finding the Third Proportional to 1,194,423,120 and 1,708,027,128

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Solution

The third proportional to 1,194,423,120 and 1,708,027,128 is: 2,442,481,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,423,120 : 1,708,027,128 = 1,708,027,128 : x
  2. Step 2: Convert to fraction form
    1,194,423,120/1,708,027,128 = 1,708,027,128/x
  3. Step 3: Cross multiply
    1,194,423,120x = 1,708,027,128 × 1,708,027,128
  4. Step 4: Simplify right side
    1,194,423,120x = 2,917,356,669,983,928,320
  5. Step 5: Solve for x
    x = 2,917,356,669,983,928,320/1,194,423,120
  6. Step 6: Final answer
    x = 2,442,481,748.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.