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Finding the Third Proportional to 601,740 and 1,321,572

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Solution

The third proportional to 601,740 and 1,321,572 is: 2,902,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,740 : 1,321,572 = 1,321,572 : x
  2. Step 2: Convert to fraction form
    601,740/1,321,572 = 1,321,572/x
  3. Step 3: Cross multiply
    601,740x = 1,321,572 × 1,321,572
  4. Step 4: Simplify right side
    601,740x = 1,746,552,551,184
  5. Step 5: Solve for x
    x = 1,746,552,551,184/601,740
  6. Step 6: Final answer
    x = 2,902,503.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.