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Finding the Third Proportional to 397,786,146 and 867,828,504

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Solution

The third proportional to 397,786,146 and 867,828,504 is: 1,893,294,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,786,146 : 867,828,504 = 867,828,504 : x
  2. Step 2: Convert to fraction form
    397,786,146/867,828,504 = 867,828,504/x
  3. Step 3: Cross multiply
    397,786,146x = 867,828,504 × 867,828,504
  4. Step 4: Simplify right side
    397,786,146x = 753,126,312,354,877,952
  5. Step 5: Solve for x
    x = 753,126,312,354,877,952/397,786,146
  6. Step 6: Final answer
    x = 1,893,294,474.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.