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Finding the Third Proportional to 668,011 and 1,034,780

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Solution

The third proportional to 668,011 and 1,034,780 is: 1,602,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,011 : 1,034,780 = 1,034,780 : x
  2. Step 2: Convert to fraction form
    668,011/1,034,780 = 1,034,780/x
  3. Step 3: Cross multiply
    668,011x = 1,034,780 × 1,034,780
  4. Step 4: Simplify right side
    668,011x = 1,070,769,648,400
  5. Step 5: Solve for x
    x = 1,070,769,648,400/668,011
  6. Step 6: Final answer
    x = 1,602,922.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.