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Finding the Third Proportional to 1,228,579,470 and 1,738,402,016

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Solution

The third proportional to 1,228,579,470 and 1,738,402,016 is: 2,459,785,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,579,470 : 1,738,402,016 = 1,738,402,016 : x
  2. Step 2: Convert to fraction form
    1,228,579,470/1,738,402,016 = 1,738,402,016/x
  3. Step 3: Cross multiply
    1,228,579,470x = 1,738,402,016 × 1,738,402,016
  4. Step 4: Simplify right side
    1,228,579,470x = 3,022,041,569,232,864,256
  5. Step 5: Solve for x
    x = 3,022,041,569,232,864,256/1,228,579,470
  6. Step 6: Final answer
    x = 2,459,785,177.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.