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Finding the Third Proportional to 650,208 and 1,390,548

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Solution

The third proportional to 650,208 and 1,390,548 is: 2,973,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,208 : 1,390,548 = 1,390,548 : x
  2. Step 2: Convert to fraction form
    650,208/1,390,548 = 1,390,548/x
  3. Step 3: Cross multiply
    650,208x = 1,390,548 × 1,390,548
  4. Step 4: Simplify right side
    650,208x = 1,933,623,740,304
  5. Step 5: Solve for x
    x = 1,933,623,740,304/650,208
  6. Step 6: Final answer
    x = 2,973,854.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.