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Finding the Third Proportional to 824,101 and 1,711,363

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Solution

The third proportional to 824,101 and 1,711,363 is: 3,553,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,101 : 1,711,363 = 1,711,363 : x
  2. Step 2: Convert to fraction form
    824,101/1,711,363 = 1,711,363/x
  3. Step 3: Cross multiply
    824,101x = 1,711,363 × 1,711,363
  4. Step 4: Simplify right side
    824,101x = 2,928,763,317,769
  5. Step 5: Solve for x
    x = 2,928,763,317,769/824,101
  6. Step 6: Final answer
    x = 3,553,888.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.