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Finding the Third Proportional to 668,559 and 1,430,430

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Solution

The third proportional to 668,559 and 1,430,430 is: 3,060,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,559 : 1,430,430 = 1,430,430 : x
  2. Step 2: Convert to fraction form
    668,559/1,430,430 = 1,430,430/x
  3. Step 3: Cross multiply
    668,559x = 1,430,430 × 1,430,430
  4. Step 4: Simplify right side
    668,559x = 2,046,129,984,900
  5. Step 5: Solve for x
    x = 2,046,129,984,900/668,559
  6. Step 6: Final answer
    x = 3,060,507.73

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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.