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Finding the Third Proportional to 551,668 and 843,547

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Solution

The third proportional to 551,668 and 843,547 is: 1,289,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,668 : 843,547 = 843,547 : x
  2. Step 2: Convert to fraction form
    551,668/843,547 = 843,547/x
  3. Step 3: Cross multiply
    551,668x = 843,547 × 843,547
  4. Step 4: Simplify right side
    551,668x = 711,571,541,209
  5. Step 5: Solve for x
    x = 711,571,541,209/551,668
  6. Step 6: Final answer
    x = 1,289,854.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.