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Finding the Third Proportional to 1,756,532 and 3,916,946

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Solution

The third proportional to 1,756,532 and 3,916,946 is: 8,734,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,532 : 3,916,946 = 3,916,946 : x
  2. Step 2: Convert to fraction form
    1,756,532/3,916,946 = 3,916,946/x
  3. Step 3: Cross multiply
    1,756,532x = 3,916,946 × 3,916,946
  4. Step 4: Simplify right side
    1,756,532x = 15,342,465,966,916
  5. Step 5: Solve for x
    x = 15,342,465,966,916/1,756,532
  6. Step 6: Final answer
    x = 8,734,521.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.