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Finding the Third Proportional to 594,106 and 1,282,909

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Solution

The third proportional to 594,106 and 1,282,909 is: 2,770,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,106 : 1,282,909 = 1,282,909 : x
  2. Step 2: Convert to fraction form
    594,106/1,282,909 = 1,282,909/x
  3. Step 3: Cross multiply
    594,106x = 1,282,909 × 1,282,909
  4. Step 4: Simplify right side
    594,106x = 1,645,855,502,281
  5. Step 5: Solve for x
    x = 1,645,855,502,281/594,106
  6. Step 6: Final answer
    x = 2,770,306.14

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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.