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Finding the Third Proportional to 838,870 and 1,334,313

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Solution

The third proportional to 838,870 and 1,334,313 is: 2,122,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,870 : 1,334,313 = 1,334,313 : x
  2. Step 2: Convert to fraction form
    838,870/1,334,313 = 1,334,313/x
  3. Step 3: Cross multiply
    838,870x = 1,334,313 × 1,334,313
  4. Step 4: Simplify right side
    838,870x = 1,780,391,181,969
  5. Step 5: Solve for x
    x = 1,780,391,181,969/838,870
  6. Step 6: Final answer
    x = 2,122,368.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.