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Finding the Third Proportional to 810,102 and 1,772,700

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Solution

The third proportional to 810,102 and 1,772,700 is: 3,879,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,102 : 1,772,700 = 1,772,700 : x
  2. Step 2: Convert to fraction form
    810,102/1,772,700 = 1,772,700/x
  3. Step 3: Cross multiply
    810,102x = 1,772,700 × 1,772,700
  4. Step 4: Simplify right side
    810,102x = 3,142,465,290,000
  5. Step 5: Solve for x
    x = 3,142,465,290,000/810,102
  6. Step 6: Final answer
    x = 3,879,098.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.