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Finding the Third Proportional to 813,650 and 1,701,658

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Solution

The third proportional to 813,650 and 1,701,658 is: 3,558,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,650 : 1,701,658 = 1,701,658 : x
  2. Step 2: Convert to fraction form
    813,650/1,701,658 = 1,701,658/x
  3. Step 3: Cross multiply
    813,650x = 1,701,658 × 1,701,658
  4. Step 4: Simplify right side
    813,650x = 2,895,639,948,964
  5. Step 5: Solve for x
    x = 2,895,639,948,964/813,650
  6. Step 6: Final answer
    x = 3,558,827.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.