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Finding the Third Proportional to 623,616 and 1,365,696

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Solution

The third proportional to 623,616 and 1,365,696 is: 2,990,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,616 : 1,365,696 = 1,365,696 : x
  2. Step 2: Convert to fraction form
    623,616/1,365,696 = 1,365,696/x
  3. Step 3: Cross multiply
    623,616x = 1,365,696 × 1,365,696
  4. Step 4: Simplify right side
    623,616x = 1,865,125,564,416
  5. Step 5: Solve for x
    x = 1,865,125,564,416/623,616
  6. Step 6: Final answer
    x = 2,990,823.78

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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.