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Finding the Third Proportional to 410,994 and 900,558

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Solution

The third proportional to 410,994 and 900,558 is: 1,973,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,994 : 900,558 = 900,558 : x
  2. Step 2: Convert to fraction form
    410,994/900,558 = 900,558/x
  3. Step 3: Cross multiply
    410,994x = 900,558 × 900,558
  4. Step 4: Simplify right side
    410,994x = 811,004,711,364
  5. Step 5: Solve for x
    x = 811,004,711,364/410,994
  6. Step 6: Final answer
    x = 1,973,276.28

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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.