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Finding the Third Proportional to 2,343,943 and 4,975,658

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Solution

The third proportional to 2,343,943 and 4,975,658 is: 10,562,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,943 : 4,975,658 = 4,975,658 : x
  2. Step 2: Convert to fraction form
    2,343,943/4,975,658 = 4,975,658/x
  3. Step 3: Cross multiply
    2,343,943x = 4,975,658 × 4,975,658
  4. Step 4: Simplify right side
    2,343,943x = 24,757,172,532,964
  5. Step 5: Solve for x
    x = 24,757,172,532,964/2,343,943
  6. Step 6: Final answer
    x = 10,562,190.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.