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Finding the Third Proportional to 429,486 and 915,847.50

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Solution

The third proportional to 429,486 and 915,847.50 is: 1,952,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,486 : 915,847.50 = 915,847.50 : x
  2. Step 2: Convert to fraction form
    429,486/915,847.50 = 915,847.50/x
  3. Step 3: Cross multiply
    429,486x = 915,847.50 × 915,847.50
  4. Step 4: Simplify right side
    429,486x = 838,776,643,256.25
  5. Step 5: Solve for x
    x = 838,776,643,256.25/429,486
  6. Step 6: Final answer
    x = 1,952,977.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.