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Finding the Third Proportional to 535,106 and 784,919

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Solution

The third proportional to 535,106 and 784,919 is: 1,151,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,106 : 784,919 = 784,919 : x
  2. Step 2: Convert to fraction form
    535,106/784,919 = 784,919/x
  3. Step 3: Cross multiply
    535,106x = 784,919 × 784,919
  4. Step 4: Simplify right side
    535,106x = 616,097,836,561
  5. Step 5: Solve for x
    x = 616,097,836,561/535,106
  6. Step 6: Final answer
    x = 1,151,356.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.