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Finding the Third Proportional to 484,896 and 1,057,902

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Solution

The third proportional to 484,896 and 1,057,902 is: 2,308,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,896 : 1,057,902 = 1,057,902 : x
  2. Step 2: Convert to fraction form
    484,896/1,057,902 = 1,057,902/x
  3. Step 3: Cross multiply
    484,896x = 1,057,902 × 1,057,902
  4. Step 4: Simplify right side
    484,896x = 1,119,156,641,604
  5. Step 5: Solve for x
    x = 1,119,156,641,604/484,896
  6. Step 6: Final answer
    x = 2,308,034.39

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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.