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Finding the Third Proportional to 1,845,724.50 and 4,014,585

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Solution

The third proportional to 1,845,724.50 and 4,014,585 is: 8,732,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845,724.50 : 4,014,585 = 4,014,585 : x
  2. Step 2: Convert to fraction form
    1,845,724.50/4,014,585 = 4,014,585/x
  3. Step 3: Cross multiply
    1,845,724.50x = 4,014,585 × 4,014,585
  4. Step 4: Simplify right side
    1,845,724.50x = 16,116,892,722,225
  5. Step 5: Solve for x
    x = 16,116,892,722,225/1,845,724.50
  6. Step 6: Final answer
    x = 8,732,014.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.