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Finding the Third Proportional to 1,576,534 and 3,447,536

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Solution

The third proportional to 1,576,534 and 3,447,536 is: 7,539,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,534 : 3,447,536 = 3,447,536 : x
  2. Step 2: Convert to fraction form
    1,576,534/3,447,536 = 3,447,536/x
  3. Step 3: Cross multiply
    1,576,534x = 3,447,536 × 3,447,536
  4. Step 4: Simplify right side
    1,576,534x = 11,885,504,471,296
  5. Step 5: Solve for x
    x = 11,885,504,471,296/1,576,534
  6. Step 6: Final answer
    x = 7,539,009.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.