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Finding the Third Proportional to 822,416 and 1,290,420

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Solution

The third proportional to 822,416 and 1,290,420 is: 2,024,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,416 : 1,290,420 = 1,290,420 : x
  2. Step 2: Convert to fraction form
    822,416/1,290,420 = 1,290,420/x
  3. Step 3: Cross multiply
    822,416x = 1,290,420 × 1,290,420
  4. Step 4: Simplify right side
    822,416x = 1,665,183,776,400
  5. Step 5: Solve for x
    x = 1,665,183,776,400/822,416
  6. Step 6: Final answer
    x = 2,024,746.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.