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Finding the Third Proportional to 518,547 and 799,947

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Solution

The third proportional to 518,547 and 799,947 is: 1,234,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,547 : 799,947 = 799,947 : x
  2. Step 2: Convert to fraction form
    518,547/799,947 = 799,947/x
  3. Step 3: Cross multiply
    518,547x = 799,947 × 799,947
  4. Step 4: Simplify right side
    518,547x = 639,915,202,809
  5. Step 5: Solve for x
    x = 639,915,202,809/518,547
  6. Step 6: Final answer
    x = 1,234,054.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.