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Finding the Third Proportional to 415,818 and 901,566

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Solution

The third proportional to 415,818 and 901,566 is: 1,954,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,818 : 901,566 = 901,566 : x
  2. Step 2: Convert to fraction form
    415,818/901,566 = 901,566/x
  3. Step 3: Cross multiply
    415,818x = 901,566 × 901,566
  4. Step 4: Simplify right side
    415,818x = 812,821,252,356
  5. Step 5: Solve for x
    x = 812,821,252,356/415,818
  6. Step 6: Final answer
    x = 1,954,752.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.