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Finding the Third Proportional to 430,995 and 906,654

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Solution

The third proportional to 430,995 and 906,654 is: 1,907,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,995 : 906,654 = 906,654 : x
  2. Step 2: Convert to fraction form
    430,995/906,654 = 906,654/x
  3. Step 3: Cross multiply
    430,995x = 906,654 × 906,654
  4. Step 4: Simplify right side
    430,995x = 822,021,475,716
  5. Step 5: Solve for x
    x = 822,021,475,716/430,995
  6. Step 6: Final answer
    x = 1,907,264.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.