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Finding the Third Proportional to 411,051 and 900,654

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Solution

The third proportional to 411,051 and 900,654 is: 1,973,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,051 : 900,654 = 900,654 : x
  2. Step 2: Convert to fraction form
    411,051/900,654 = 900,654/x
  3. Step 3: Cross multiply
    411,051x = 900,654 × 900,654
  4. Step 4: Simplify right side
    411,051x = 811,177,627,716
  5. Step 5: Solve for x
    x = 811,177,627,716/411,051
  6. Step 6: Final answer
    x = 1,973,423.32

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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.