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Finding the Third Proportional to 935,122.50 and 2,045,200.50

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Solution

The third proportional to 935,122.50 and 2,045,200.50 is: 4,473,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,122.50 : 2,045,200.50 = 2,045,200.50 : x
  2. Step 2: Convert to fraction form
    935,122.50/2,045,200.50 = 2,045,200.50/x
  3. Step 3: Cross multiply
    935,122.50x = 2,045,200.50 × 2,045,200.50
  4. Step 4: Simplify right side
    935,122.50x = 4,182,845,085,200.25
  5. Step 5: Solve for x
    x = 4,182,845,085,200.25/935,122.50
  6. Step 6: Final answer
    x = 4,473,045.07

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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.