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Finding the Third Proportional to 938,712 and 1,993,776

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Solution

The third proportional to 938,712 and 1,993,776 is: 4,234,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,712 : 1,993,776 = 1,993,776 : x
  2. Step 2: Convert to fraction form
    938,712/1,993,776 = 1,993,776/x
  3. Step 3: Cross multiply
    938,712x = 1,993,776 × 1,993,776
  4. Step 4: Simplify right side
    938,712x = 3,975,142,738,176
  5. Step 5: Solve for x
    x = 3,975,142,738,176/938,712
  6. Step 6: Final answer
    x = 4,234,677.66

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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.