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Finding the Third Proportional to 1,125,850.50 and 2,297,547

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Solution

The third proportional to 1,125,850.50 and 2,297,547 is: 4,688,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,850.50 : 2,297,547 = 2,297,547 : x
  2. Step 2: Convert to fraction form
    1,125,850.50/2,297,547 = 2,297,547/x
  3. Step 3: Cross multiply
    1,125,850.50x = 2,297,547 × 2,297,547
  4. Step 4: Simplify right side
    1,125,850.50x = 5,278,722,217,209
  5. Step 5: Solve for x
    x = 5,278,722,217,209/1,125,850.50
  6. Step 6: Final answer
    x = 4,688,652.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.