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Finding the Third Proportional to 676,946 and 1,486,764

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Solution

The third proportional to 676,946 and 1,486,764 is: 3,265,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,946 : 1,486,764 = 1,486,764 : x
  2. Step 2: Convert to fraction form
    676,946/1,486,764 = 1,486,764/x
  3. Step 3: Cross multiply
    676,946x = 1,486,764 × 1,486,764
  4. Step 4: Simplify right side
    676,946x = 2,210,467,191,696
  5. Step 5: Solve for x
    x = 2,210,467,191,696/676,946
  6. Step 6: Final answer
    x = 3,265,352.32

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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.