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Finding the Third Proportional to 1,070,747 and 1,576,515

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Solution

The third proportional to 1,070,747 and 1,576,515 is: 2,321,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,747 : 1,576,515 = 1,576,515 : x
  2. Step 2: Convert to fraction form
    1,070,747/1,576,515 = 1,576,515/x
  3. Step 3: Cross multiply
    1,070,747x = 1,576,515 × 1,576,515
  4. Step 4: Simplify right side
    1,070,747x = 2,485,399,545,225
  5. Step 5: Solve for x
    x = 2,485,399,545,225/1,070,747
  6. Step 6: Final answer
    x = 2,321,182.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.