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Finding the Third Proportional to 1,032,501 and 2,214,467

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Solution

The third proportional to 1,032,501 and 2,214,467 is: 4,749,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,501 : 2,214,467 = 2,214,467 : x
  2. Step 2: Convert to fraction form
    1,032,501/2,214,467 = 2,214,467/x
  3. Step 3: Cross multiply
    1,032,501x = 2,214,467 × 2,214,467
  4. Step 4: Simplify right side
    1,032,501x = 4,903,864,094,089
  5. Step 5: Solve for x
    x = 4,903,864,094,089/1,032,501
  6. Step 6: Final answer
    x = 4,749,500.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.