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Finding the Third Proportional to 785,408 and 1,208,998

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Solution

The third proportional to 785,408 and 1,208,998 is: 1,861,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,408 : 1,208,998 = 1,208,998 : x
  2. Step 2: Convert to fraction form
    785,408/1,208,998 = 1,208,998/x
  3. Step 3: Cross multiply
    785,408x = 1,208,998 × 1,208,998
  4. Step 4: Simplify right side
    785,408x = 1,461,676,164,004
  5. Step 5: Solve for x
    x = 1,461,676,164,004/785,408
  6. Step 6: Final answer
    x = 1,861,040.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.