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Finding the Third Proportional to 846,534.75 and 1,807,876.50

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Solution

The third proportional to 846,534.75 and 1,807,876.50 is: 3,860,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,534.75 : 1,807,876.50 = 1,807,876.50 : x
  2. Step 2: Convert to fraction form
    846,534.75/1,807,876.50 = 1,807,876.50/x
  3. Step 3: Cross multiply
    846,534.75x = 1,807,876.50 × 1,807,876.50
  4. Step 4: Simplify right side
    846,534.75x = 3,268,417,439,252.25
  5. Step 5: Solve for x
    x = 3,268,417,439,252.25/846,534.75
  6. Step 6: Final answer
    x = 3,860,937.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.