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Finding the Third Proportional to 1,576,624.75 and 3,447,691.25

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Solution

The third proportional to 1,576,624.75 and 3,447,691.25 is: 7,539,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,624.75 : 3,447,691.25 = 3,447,691.25 : x
  2. Step 2: Convert to fraction form
    1,576,624.75/3,447,691.25 = 3,447,691.25/x
  3. Step 3: Cross multiply
    1,576,624.75x = 3,447,691.25 × 3,447,691.25
  4. Step 4: Simplify right side
    1,576,624.75x = 11,886,574,955,326.56
  5. Step 5: Solve for x
    x = 11,886,574,955,326.56/1,576,624.75
  6. Step 6: Final answer
    x = 7,539,254.32

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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.