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Finding the Third Proportional to 949,482 and 2,048,773.50

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Solution

The third proportional to 949,482 and 2,048,773.50 is: 4,420,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,482 : 2,048,773.50 = 2,048,773.50 : x
  2. Step 2: Convert to fraction form
    949,482/2,048,773.50 = 2,048,773.50/x
  3. Step 3: Cross multiply
    949,482x = 2,048,773.50 × 2,048,773.50
  4. Step 4: Simplify right side
    949,482x = 4,197,472,854,302.25
  5. Step 5: Solve for x
    x = 4,197,472,854,302.25/949,482
  6. Step 6: Final answer
    x = 4,420,802.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.