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Finding the Third Proportional to 891,024 and 1,287,376

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Solution

The third proportional to 891,024 and 1,287,376 is: 1,860,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,024 : 1,287,376 = 1,287,376 : x
  2. Step 2: Convert to fraction form
    891,024/1,287,376 = 1,287,376/x
  3. Step 3: Cross multiply
    891,024x = 1,287,376 × 1,287,376
  4. Step 4: Simplify right side
    891,024x = 1,657,336,965,376
  5. Step 5: Solve for x
    x = 1,657,336,965,376/891,024
  6. Step 6: Final answer
    x = 1,860,036.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.