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Finding the Third Proportional to 478,791 and 1,012,905

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Solution

The third proportional to 478,791 and 1,012,905 is: 2,142,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,791 : 1,012,905 = 1,012,905 : x
  2. Step 2: Convert to fraction form
    478,791/1,012,905 = 1,012,905/x
  3. Step 3: Cross multiply
    478,791x = 1,012,905 × 1,012,905
  4. Step 4: Simplify right side
    478,791x = 1,025,976,539,025
  5. Step 5: Solve for x
    x = 1,025,976,539,025/478,791
  6. Step 6: Final answer
    x = 2,142,848.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.