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Finding the Third Proportional to 830,664 and 1,262,416

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Solution

The third proportional to 830,664 and 1,262,416 is: 1,918,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,664 : 1,262,416 = 1,262,416 : x
  2. Step 2: Convert to fraction form
    830,664/1,262,416 = 1,262,416/x
  3. Step 3: Cross multiply
    830,664x = 1,262,416 × 1,262,416
  4. Step 4: Simplify right side
    830,664x = 1,593,694,157,056
  5. Step 5: Solve for x
    x = 1,593,694,157,056/830,664
  6. Step 6: Final answer
    x = 1,918,578.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.