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Finding the Third Proportional to 435,316 and 914,696

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Solution

The third proportional to 435,316 and 914,696 is: 1,921,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,316 : 914,696 = 914,696 : x
  2. Step 2: Convert to fraction form
    435,316/914,696 = 914,696/x
  3. Step 3: Cross multiply
    435,316x = 914,696 × 914,696
  4. Step 4: Simplify right side
    435,316x = 836,668,772,416
  5. Step 5: Solve for x
    x = 836,668,772,416/435,316
  6. Step 6: Final answer
    x = 1,921,980.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.