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Finding the Third Proportional to 619,306 and 872,094

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Solution

The third proportional to 619,306 and 872,094 is: 1,228,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,306 : 872,094 = 872,094 : x
  2. Step 2: Convert to fraction form
    619,306/872,094 = 872,094/x
  3. Step 3: Cross multiply
    619,306x = 872,094 × 872,094
  4. Step 4: Simplify right side
    619,306x = 760,547,944,836
  5. Step 5: Solve for x
    x = 760,547,944,836/619,306
  6. Step 6: Final answer
    x = 1,228,064.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.