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Finding the Third Proportional to 442,790 and 917,085

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Solution

The third proportional to 442,790 and 917,085 is: 1,899,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,790 : 917,085 = 917,085 : x
  2. Step 2: Convert to fraction form
    442,790/917,085 = 917,085/x
  3. Step 3: Cross multiply
    442,790x = 917,085 × 917,085
  4. Step 4: Simplify right side
    442,790x = 841,044,897,225
  5. Step 5: Solve for x
    x = 841,044,897,225/442,790
  6. Step 6: Final answer
    x = 1,899,421.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.