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Finding the Third Proportional to 594,129 and 1,282,953

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Solution

The third proportional to 594,129 and 1,282,953 is: 2,770,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,129 : 1,282,953 = 1,282,953 : x
  2. Step 2: Convert to fraction form
    594,129/1,282,953 = 1,282,953/x
  3. Step 3: Cross multiply
    594,129x = 1,282,953 × 1,282,953
  4. Step 4: Simplify right side
    594,129x = 1,645,968,400,209
  5. Step 5: Solve for x
    x = 1,645,968,400,209/594,129
  6. Step 6: Final answer
    x = 2,770,388.92

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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.