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Finding the Third Proportional to 601,856 and 1,346,304

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Solution

The third proportional to 601,856 and 1,346,304 is: 3,011,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,856 : 1,346,304 = 1,346,304 : x
  2. Step 2: Convert to fraction form
    601,856/1,346,304 = 1,346,304/x
  3. Step 3: Cross multiply
    601,856x = 1,346,304 × 1,346,304
  4. Step 4: Simplify right side
    601,856x = 1,812,534,460,416
  5. Step 5: Solve for x
    x = 1,812,534,460,416/601,856
  6. Step 6: Final answer
    x = 3,011,574.96

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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.