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Finding the Third Proportional to 730,004 and 1,560,888

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Solution

The third proportional to 730,004 and 1,560,888 is: 3,337,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,004 : 1,560,888 = 1,560,888 : x
  2. Step 2: Convert to fraction form
    730,004/1,560,888 = 1,560,888/x
  3. Step 3: Cross multiply
    730,004x = 1,560,888 × 1,560,888
  4. Step 4: Simplify right side
    730,004x = 2,436,371,348,544
  5. Step 5: Solve for x
    x = 2,436,371,348,544/730,004
  6. Step 6: Final answer
    x = 3,337,476.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.