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Finding the Third Proportional to 2,411,709 and 5,021,877

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Solution

The third proportional to 2,411,709 and 5,021,877 is: 10,457,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,709 : 5,021,877 = 5,021,877 : x
  2. Step 2: Convert to fraction form
    2,411,709/5,021,877 = 5,021,877/x
  3. Step 3: Cross multiply
    2,411,709x = 5,021,877 × 5,021,877
  4. Step 4: Simplify right side
    2,411,709x = 25,219,248,603,129
  5. Step 5: Solve for x
    x = 25,219,248,603,129/2,411,709
  6. Step 6: Final answer
    x = 10,457,003.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.