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Finding the Third Proportional to 435,996 and 974,034

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Solution

The third proportional to 435,996 and 974,034 is: 2,176,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,996 : 974,034 = 974,034 : x
  2. Step 2: Convert to fraction form
    435,996/974,034 = 974,034/x
  3. Step 3: Cross multiply
    435,996x = 974,034 × 974,034
  4. Step 4: Simplify right side
    435,996x = 948,742,233,156
  5. Step 5: Solve for x
    x = 948,742,233,156/435,996
  6. Step 6: Final answer
    x = 2,176,034.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.