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Finding the Third Proportional to 423,946 and 896,968

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Solution

The third proportional to 423,946 and 896,968 is: 1,897,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,946 : 896,968 = 896,968 : x
  2. Step 2: Convert to fraction form
    423,946/896,968 = 896,968/x
  3. Step 3: Cross multiply
    423,946x = 896,968 × 896,968
  4. Step 4: Simplify right side
    423,946x = 804,551,593,024
  5. Step 5: Solve for x
    x = 804,551,593,024/423,946
  6. Step 6: Final answer
    x = 1,897,769.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.