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Finding the Third Proportional to 666,442 and 1,465,696

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Solution

The third proportional to 666,442 and 1,465,696 is: 3,223,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,442 : 1,465,696 = 1,465,696 : x
  2. Step 2: Convert to fraction form
    666,442/1,465,696 = 1,465,696/x
  3. Step 3: Cross multiply
    666,442x = 1,465,696 × 1,465,696
  4. Step 4: Simplify right side
    666,442x = 2,148,264,764,416
  5. Step 5: Solve for x
    x = 2,148,264,764,416/666,442
  6. Step 6: Final answer
    x = 3,223,483.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.