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Finding the Third Proportional to 442,289 and 947,677

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Solution

The third proportional to 442,289 and 947,677 is: 2,030,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,289 : 947,677 = 947,677 : x
  2. Step 2: Convert to fraction form
    442,289/947,677 = 947,677/x
  3. Step 3: Cross multiply
    442,289x = 947,677 × 947,677
  4. Step 4: Simplify right side
    442,289x = 898,091,696,329
  5. Step 5: Solve for x
    x = 898,091,696,329/442,289
  6. Step 6: Final answer
    x = 2,030,554.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.