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Finding the Third Proportional to 417,233 and 900,988

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Solution

The third proportional to 417,233 and 900,988 is: 1,945,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,233 : 900,988 = 900,988 : x
  2. Step 2: Convert to fraction form
    417,233/900,988 = 900,988/x
  3. Step 3: Cross multiply
    417,233x = 900,988 × 900,988
  4. Step 4: Simplify right side
    417,233x = 811,779,376,144
  5. Step 5: Solve for x
    x = 811,779,376,144/417,233
  6. Step 6: Final answer
    x = 1,945,626.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.