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Finding the Third Proportional to 2,430,372 and 2,732,178

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Solution

The third proportional to 2,430,372 and 2,732,178 is: 3,071,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,372 : 2,732,178 = 2,732,178 : x
  2. Step 2: Convert to fraction form
    2,430,372/2,732,178 = 2,732,178/x
  3. Step 3: Cross multiply
    2,430,372x = 2,732,178 × 2,732,178
  4. Step 4: Simplify right side
    2,430,372x = 7,464,796,623,684
  5. Step 5: Solve for x
    x = 7,464,796,623,684/2,430,372
  6. Step 6: Final answer
    x = 3,071,462.57

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.