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Finding the Third Proportional to 418,536 and 894,528

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Solution

The third proportional to 418,536 and 894,528 is: 1,911,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,536 : 894,528 = 894,528 : x
  2. Step 2: Convert to fraction form
    418,536/894,528 = 894,528/x
  3. Step 3: Cross multiply
    418,536x = 894,528 × 894,528
  4. Step 4: Simplify right side
    418,536x = 800,180,342,784
  5. Step 5: Solve for x
    x = 800,180,342,784/418,536
  6. Step 6: Final answer
    x = 1,911,855.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.