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Finding the Third Proportional to 1,583,962.91 and 2,453,766.06

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Solution

The third proportional to 1,583,962.91 and 2,453,766.06 is: 3,801,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,962.91 : 2,453,766.06 = 2,453,766.06 : x
  2. Step 2: Convert to fraction form
    1,583,962.91/2,453,766.06 = 2,453,766.06/x
  3. Step 3: Cross multiply
    1,583,962.91x = 2,453,766.06 × 2,453,766.06
  4. Step 4: Simplify right side
    1,583,962.91x = 6,020,967,899,061.65
  5. Step 5: Solve for x
    x = 6,020,967,899,061.65/1,583,962.91
  6. Step 6: Final answer
    x = 3,801,205.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.