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Finding the Third Proportional to 417,526 and 930,674

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Solution

The third proportional to 417,526 and 930,674 is: 2,074,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,526 : 930,674 = 930,674 : x
  2. Step 2: Convert to fraction form
    417,526/930,674 = 930,674/x
  3. Step 3: Cross multiply
    417,526x = 930,674 × 930,674
  4. Step 4: Simplify right side
    417,526x = 866,154,094,276
  5. Step 5: Solve for x
    x = 866,154,094,276/417,526
  6. Step 6: Final answer
    x = 2,074,491.40

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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.