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Finding the Third Proportional to 929,205 and 1,363,102.50

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Solution

The third proportional to 929,205 and 1,363,102.50 is: 1,999,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,205 : 1,363,102.50 = 1,363,102.50 : x
  2. Step 2: Convert to fraction form
    929,205/1,363,102.50 = 1,363,102.50/x
  3. Step 3: Cross multiply
    929,205x = 1,363,102.50 × 1,363,102.50
  4. Step 4: Simplify right side
    929,205x = 1,858,048,425,506.25
  5. Step 5: Solve for x
    x = 1,858,048,425,506.25/929,205
  6. Step 6: Final answer
    x = 1,999,610.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.