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Finding the Third Proportional to 1,524,798 and 2,032,785

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Solution

The third proportional to 1,524,798 and 2,032,785 is: 2,710,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,798 : 2,032,785 = 2,032,785 : x
  2. Step 2: Convert to fraction form
    1,524,798/2,032,785 = 2,032,785/x
  3. Step 3: Cross multiply
    1,524,798x = 2,032,785 × 2,032,785
  4. Step 4: Simplify right side
    1,524,798x = 4,132,214,856,225
  5. Step 5: Solve for x
    x = 4,132,214,856,225/1,524,798
  6. Step 6: Final answer
    x = 2,710,008.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.