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Finding the Third Proportional to 891,958 and 1,271,506

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Solution

The third proportional to 891,958 and 1,271,506 is: 1,812,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,958 : 1,271,506 = 1,271,506 : x
  2. Step 2: Convert to fraction form
    891,958/1,271,506 = 1,271,506/x
  3. Step 3: Cross multiply
    891,958x = 1,271,506 × 1,271,506
  4. Step 4: Simplify right side
    891,958x = 1,616,727,508,036
  5. Step 5: Solve for x
    x = 1,616,727,508,036/891,958
  6. Step 6: Final answer
    x = 1,812,560.13

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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.