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Finding the Third Proportional to 807,210 and 1,712,814

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Solution

The third proportional to 807,210 and 1,712,814 is: 3,634,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,210 : 1,712,814 = 1,712,814 : x
  2. Step 2: Convert to fraction form
    807,210/1,712,814 = 1,712,814/x
  3. Step 3: Cross multiply
    807,210x = 1,712,814 × 1,712,814
  4. Step 4: Simplify right side
    807,210x = 2,933,731,798,596
  5. Step 5: Solve for x
    x = 2,933,731,798,596/807,210
  6. Step 6: Final answer
    x = 3,634,409.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.