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Finding the Third Proportional to 434,894 and 882,014

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Solution

The third proportional to 434,894 and 882,014 is: 1,788,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,894 : 882,014 = 882,014 : x
  2. Step 2: Convert to fraction form
    434,894/882,014 = 882,014/x
  3. Step 3: Cross multiply
    434,894x = 882,014 × 882,014
  4. Step 4: Simplify right side
    434,894x = 777,948,696,196
  5. Step 5: Solve for x
    x = 777,948,696,196/434,894
  6. Step 6: Final answer
    x = 1,788,823.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.