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Finding the Third Proportional to 1,576,032.19 and 2,364,040.69

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Solution

The third proportional to 1,576,032.19 and 2,364,040.69 is: 3,546,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,032.19 : 2,364,040.69 = 2,364,040.69 : x
  2. Step 2: Convert to fraction form
    1,576,032.19/2,364,040.69 = 2,364,040.69/x
  3. Step 3: Cross multiply
    1,576,032.19x = 2,364,040.69 × 2,364,040.69
  4. Step 4: Simplify right side
    1,576,032.19x = 5,588,688,372,155.47
  5. Step 5: Solve for x
    x = 5,588,688,372,155.47/1,576,032.19
  6. Step 6: Final answer
    x = 3,546,049.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.