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Finding the Third Proportional to 415,392 and 900,768

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Solution

The third proportional to 415,392 and 900,768 is: 1,953,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,392 : 900,768 = 900,768 : x
  2. Step 2: Convert to fraction form
    415,392/900,768 = 900,768/x
  3. Step 3: Cross multiply
    415,392x = 900,768 × 900,768
  4. Step 4: Simplify right side
    415,392x = 811,382,989,824
  5. Step 5: Solve for x
    x = 811,382,989,824/415,392
  6. Step 6: Final answer
    x = 1,953,294.69

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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.