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Finding the Third Proportional to 570,119 and 1,239,470

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Solution

The third proportional to 570,119 and 1,239,470 is: 2,694,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,119 : 1,239,470 = 1,239,470 : x
  2. Step 2: Convert to fraction form
    570,119/1,239,470 = 1,239,470/x
  3. Step 3: Cross multiply
    570,119x = 1,239,470 × 1,239,470
  4. Step 4: Simplify right side
    570,119x = 1,536,285,880,900
  5. Step 5: Solve for x
    x = 1,536,285,880,900/570,119
  6. Step 6: Final answer
    x = 2,694,675.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.