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Finding the Third Proportional to 1,430,820 and 3,032,172

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Solution

The third proportional to 1,430,820 and 3,032,172 is: 6,425,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,820 : 3,032,172 = 3,032,172 : x
  2. Step 2: Convert to fraction form
    1,430,820/3,032,172 = 3,032,172/x
  3. Step 3: Cross multiply
    1,430,820x = 3,032,172 × 3,032,172
  4. Step 4: Simplify right side
    1,430,820x = 9,194,067,037,584
  5. Step 5: Solve for x
    x = 9,194,067,037,584/1,430,820
  6. Step 6: Final answer
    x = 6,425,732.82

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