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Finding the Third Proportional to 810,000 and 1,772,523

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Solution

The third proportional to 810,000 and 1,772,523 is: 3,878,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,000 : 1,772,523 = 1,772,523 : x
  2. Step 2: Convert to fraction form
    810,000/1,772,523 = 1,772,523/x
  3. Step 3: Cross multiply
    810,000x = 1,772,523 × 1,772,523
  4. Step 4: Simplify right side
    810,000x = 3,141,837,785,529
  5. Step 5: Solve for x
    x = 3,141,837,785,529/810,000
  6. Step 6: Final answer
    x = 3,878,812.08

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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.