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Finding the Third Proportional to 829,908 and 1,276,209

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Solution

The third proportional to 829,908 and 1,276,209 is: 1,962,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,908 : 1,276,209 = 1,276,209 : x
  2. Step 2: Convert to fraction form
    829,908/1,276,209 = 1,276,209/x
  3. Step 3: Cross multiply
    829,908x = 1,276,209 × 1,276,209
  4. Step 4: Simplify right side
    829,908x = 1,628,709,411,681
  5. Step 5: Solve for x
    x = 1,628,709,411,681/829,908
  6. Step 6: Final answer
    x = 1,962,518.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.