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Finding the Third Proportional to 833,386 and 1,796,564

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Solution

The third proportional to 833,386 and 1,796,564 is: 3,872,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,386 : 1,796,564 = 1,796,564 : x
  2. Step 2: Convert to fraction form
    833,386/1,796,564 = 1,796,564/x
  3. Step 3: Cross multiply
    833,386x = 1,796,564 × 1,796,564
  4. Step 4: Simplify right side
    833,386x = 3,227,642,206,096
  5. Step 5: Solve for x
    x = 3,227,642,206,096/833,386
  6. Step 6: Final answer
    x = 3,872,925.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.