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Finding the Third Proportional to 783,850 and 1,211,437

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Solution

The third proportional to 783,850 and 1,211,437 is: 1,872,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,850 : 1,211,437 = 1,211,437 : x
  2. Step 2: Convert to fraction form
    783,850/1,211,437 = 1,211,437/x
  3. Step 3: Cross multiply
    783,850x = 1,211,437 × 1,211,437
  4. Step 4: Simplify right side
    783,850x = 1,467,579,604,969
  5. Step 5: Solve for x
    x = 1,467,579,604,969/783,850
  6. Step 6: Final answer
    x = 1,872,270.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.