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Finding the Third Proportional to 423,784 and 914,786

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Solution

The third proportional to 423,784 and 914,786 is: 1,974,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,784 : 914,786 = 914,786 : x
  2. Step 2: Convert to fraction form
    423,784/914,786 = 914,786/x
  3. Step 3: Cross multiply
    423,784x = 914,786 × 914,786
  4. Step 4: Simplify right side
    423,784x = 836,833,425,796
  5. Step 5: Solve for x
    x = 836,833,425,796/423,784
  6. Step 6: Final answer
    x = 1,974,669.70

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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.