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Finding the Third Proportional to 927,341.25 and 1,954,312.50

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Solution

The third proportional to 927,341.25 and 1,954,312.50 is: 4,118,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,341.25 : 1,954,312.50 = 1,954,312.50 : x
  2. Step 2: Convert to fraction form
    927,341.25/1,954,312.50 = 1,954,312.50/x
  3. Step 3: Cross multiply
    927,341.25x = 1,954,312.50 × 1,954,312.50
  4. Step 4: Simplify right side
    927,341.25x = 3,819,337,347,656.25
  5. Step 5: Solve for x
    x = 3,819,337,347,656.25/927,341.25
  6. Step 6: Final answer
    x = 4,118,588.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.