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Finding the Third Proportional to 856,564 and 1,865,672

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Solution

The third proportional to 856,564 and 1,865,672 is: 4,063,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,564 : 1,865,672 = 1,865,672 : x
  2. Step 2: Convert to fraction form
    856,564/1,865,672 = 1,865,672/x
  3. Step 3: Cross multiply
    856,564x = 1,865,672 × 1,865,672
  4. Step 4: Simplify right side
    856,564x = 3,480,732,011,584
  5. Step 5: Solve for x
    x = 3,480,732,011,584/856,564
  6. Step 6: Final answer
    x = 4,063,598.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.