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Finding the Third Proportional to 822,696 and 1,242,784

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Solution

The third proportional to 822,696 and 1,242,784 is: 1,877,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,696 : 1,242,784 = 1,242,784 : x
  2. Step 2: Convert to fraction form
    822,696/1,242,784 = 1,242,784/x
  3. Step 3: Cross multiply
    822,696x = 1,242,784 × 1,242,784
  4. Step 4: Simplify right side
    822,696x = 1,544,512,070,656
  5. Step 5: Solve for x
    x = 1,544,512,070,656/822,696
  6. Step 6: Final answer
    x = 1,877,378.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.