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Finding the Third Proportional to 1,815,943.50 and 2,925,969.75

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Solution

The third proportional to 1,815,943.50 and 2,925,969.75 is: 4,714,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815,943.50 : 2,925,969.75 = 2,925,969.75 : x
  2. Step 2: Convert to fraction form
    1,815,943.50/2,925,969.75 = 2,925,969.75/x
  3. Step 3: Cross multiply
    1,815,943.50x = 2,925,969.75 × 2,925,969.75
  4. Step 4: Simplify right side
    1,815,943.50x = 8,561,298,977,915.06
  5. Step 5: Solve for x
    x = 8,561,298,977,915.06/1,815,943.50
  6. Step 6: Final answer
    x = 4,714,518.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.