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Finding the Third Proportional to 570,120 and 1,239,473

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Solution

The third proportional to 570,120 and 1,239,473 is: 2,694,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,120 : 1,239,473 = 1,239,473 : x
  2. Step 2: Convert to fraction form
    570,120/1,239,473 = 1,239,473/x
  3. Step 3: Cross multiply
    570,120x = 1,239,473 × 1,239,473
  4. Step 4: Simplify right side
    570,120x = 1,536,293,317,729
  5. Step 5: Solve for x
    x = 1,536,293,317,729/570,120
  6. Step 6: Final answer
    x = 2,694,684.13

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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.