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Finding the Third Proportional to 1,576,584 and 3,574,044

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Solution

The third proportional to 1,576,584 and 3,574,044 is: 8,102,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,584 : 3,574,044 = 3,574,044 : x
  2. Step 2: Convert to fraction form
    1,576,584/3,574,044 = 3,574,044/x
  3. Step 3: Cross multiply
    1,576,584x = 3,574,044 × 3,574,044
  4. Step 4: Simplify right side
    1,576,584x = 12,773,790,513,936
  5. Step 5: Solve for x
    x = 12,773,790,513,936/1,576,584
  6. Step 6: Final answer
    x = 8,102,194.69

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.