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Finding the Third Proportional to 810,205.66 and 1,746,019.55

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Solution

The third proportional to 810,205.66 and 1,746,019.55 is: 3,762,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,205.66 : 1,746,019.55 = 1,746,019.55 : x
  2. Step 2: Convert to fraction form
    810,205.66/1,746,019.55 = 1,746,019.55/x
  3. Step 3: Cross multiply
    810,205.66x = 1,746,019.55 × 1,746,019.55
  4. Step 4: Simplify right side
    810,205.66x = 3,048,584,258,069.58
  5. Step 5: Solve for x
    x = 3,048,584,258,069.58/810,205.66
  6. Step 6: Final answer
    x = 3,762,728.89

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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.