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Finding the Third Proportional to 413,952 and 907,392

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Solution

The third proportional to 413,952 and 907,392 is: 1,989,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,952 : 907,392 = 907,392 : x
  2. Step 2: Convert to fraction form
    413,952/907,392 = 907,392/x
  3. Step 3: Cross multiply
    413,952x = 907,392 × 907,392
  4. Step 4: Simplify right side
    413,952x = 823,360,241,664
  5. Step 5: Solve for x
    x = 823,360,241,664/413,952
  6. Step 6: Final answer
    x = 1,989,023.47

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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.