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Finding the Third Proportional to 796,397 and 1,686,070

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Solution

The third proportional to 796,397 and 1,686,070 is: 3,569,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,397 : 1,686,070 = 1,686,070 : x
  2. Step 2: Convert to fraction form
    796,397/1,686,070 = 1,686,070/x
  3. Step 3: Cross multiply
    796,397x = 1,686,070 × 1,686,070
  4. Step 4: Simplify right side
    796,397x = 2,842,832,044,900
  5. Step 5: Solve for x
    x = 2,842,832,044,900/796,397
  6. Step 6: Final answer
    x = 3,569,616.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.