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Finding the Third Proportional to 617,190 and 1,349,730

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Solution

The third proportional to 617,190 and 1,349,730 is: 2,951,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,190 : 1,349,730 = 1,349,730 : x
  2. Step 2: Convert to fraction form
    617,190/1,349,730 = 1,349,730/x
  3. Step 3: Cross multiply
    617,190x = 1,349,730 × 1,349,730
  4. Step 4: Simplify right side
    617,190x = 1,821,771,072,900
  5. Step 5: Solve for x
    x = 1,821,771,072,900/617,190
  6. Step 6: Final answer
    x = 2,951,718.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.