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Finding the Third Proportional to 830,780 and 1,801,528

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Solution

The third proportional to 830,780 and 1,801,528 is: 3,906,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,780 : 1,801,528 = 1,801,528 : x
  2. Step 2: Convert to fraction form
    830,780/1,801,528 = 1,801,528/x
  3. Step 3: Cross multiply
    830,780x = 1,801,528 × 1,801,528
  4. Step 4: Simplify right side
    830,780x = 3,245,503,134,784
  5. Step 5: Solve for x
    x = 3,245,503,134,784/830,780
  6. Step 6: Final answer
    x = 3,906,573.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.