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Finding the Third Proportional to 435,924 and 955,946

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Solution

The third proportional to 435,924 and 955,946 is: 2,096,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,924 : 955,946 = 955,946 : x
  2. Step 2: Convert to fraction form
    435,924/955,946 = 955,946/x
  3. Step 3: Cross multiply
    435,924x = 955,946 × 955,946
  4. Step 4: Simplify right side
    435,924x = 913,832,754,916
  5. Step 5: Solve for x
    x = 913,832,754,916/435,924
  6. Step 6: Final answer
    x = 2,096,312.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.