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Finding the Third Proportional to 420,460,800.75 and 920,055,852

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Solution

The third proportional to 420,460,800.75 and 920,055,852 is: 2,013,273,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,460,800.75 : 920,055,852 = 920,055,852 : x
  2. Step 2: Convert to fraction form
    420,460,800.75/920,055,852 = 920,055,852/x
  3. Step 3: Cross multiply
    420,460,800.75x = 920,055,852 × 920,055,852
  4. Step 4: Simplify right side
    420,460,800.75x = 846,502,770,799,445,888
  5. Step 5: Solve for x
    x = 846,502,770,799,445,888/420,460,800.75
  6. Step 6: Final answer
    x = 2,013,273,934.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.