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Finding the Third Proportional to 601,920 and 1,346,432

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Solution

The third proportional to 601,920 and 1,346,432 is: 3,011,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,920 : 1,346,432 = 1,346,432 : x
  2. Step 2: Convert to fraction form
    601,920/1,346,432 = 1,346,432/x
  3. Step 3: Cross multiply
    601,920x = 1,346,432 × 1,346,432
  4. Step 4: Simplify right side
    601,920x = 1,812,879,130,624
  5. Step 5: Solve for x
    x = 1,812,879,130,624/601,920
  6. Step 6: Final answer
    x = 3,011,827.37

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.