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Finding the Third Proportional to 613,402 and 1,334,804

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Solution

The third proportional to 613,402 and 1,334,804 is: 2,904,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,402 : 1,334,804 = 1,334,804 : x
  2. Step 2: Convert to fraction form
    613,402/1,334,804 = 1,334,804/x
  3. Step 3: Cross multiply
    613,402x = 1,334,804 × 1,334,804
  4. Step 4: Simplify right side
    613,402x = 1,781,701,718,416
  5. Step 5: Solve for x
    x = 1,781,701,718,416/613,402
  6. Step 6: Final answer
    x = 2,904,623.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.