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Finding the Third Proportional to 891,976 and 1,271,527

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Solution

The third proportional to 891,976 and 1,271,527 is: 1,812,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,976 : 1,271,527 = 1,271,527 : x
  2. Step 2: Convert to fraction form
    891,976/1,271,527 = 1,271,527/x
  3. Step 3: Cross multiply
    891,976x = 1,271,527 × 1,271,527
  4. Step 4: Simplify right side
    891,976x = 1,616,780,911,729
  5. Step 5: Solve for x
    x = 1,616,780,911,729/891,976
  6. Step 6: Final answer
    x = 1,812,583.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.