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Finding the Third Proportional to 788,315 and 1,217,408

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Solution

The third proportional to 788,315 and 1,217,408 is: 1,880,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,315 : 1,217,408 = 1,217,408 : x
  2. Step 2: Convert to fraction form
    788,315/1,217,408 = 1,217,408/x
  3. Step 3: Cross multiply
    788,315x = 1,217,408 × 1,217,408
  4. Step 4: Simplify right side
    788,315x = 1,482,082,238,464
  5. Step 5: Solve for x
    x = 1,482,082,238,464/788,315
  6. Step 6: Final answer
    x = 1,880,063.48

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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.