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Finding the Third Proportional to 1,030,384 and 1,576,172

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Solution

The third proportional to 1,030,384 and 1,576,172 is: 2,411,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,384 : 1,576,172 = 1,576,172 : x
  2. Step 2: Convert to fraction form
    1,030,384/1,576,172 = 1,576,172/x
  3. Step 3: Cross multiply
    1,030,384x = 1,576,172 × 1,576,172
  4. Step 4: Simplify right side
    1,030,384x = 2,484,318,173,584
  5. Step 5: Solve for x
    x = 2,484,318,173,584/1,030,384
  6. Step 6: Final answer
    x = 2,411,060.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.