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Finding the Third Proportional to 1,030,702.50 and 1,541,315.25

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Solution

The third proportional to 1,030,702.50 and 1,541,315.25 is: 2,304,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,702.50 : 1,541,315.25 = 1,541,315.25 : x
  2. Step 2: Convert to fraction form
    1,030,702.50/1,541,315.25 = 1,541,315.25/x
  3. Step 3: Cross multiply
    1,030,702.50x = 1,541,315.25 × 1,541,315.25
  4. Step 4: Simplify right side
    1,030,702.50x = 2,375,652,699,882.56
  5. Step 5: Solve for x
    x = 2,375,652,699,882.56/1,030,702.50
  6. Step 6: Final answer
    x = 2,304,886.91

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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.