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Finding the Third Proportional to 423,780 and 928,488

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Solution

The third proportional to 423,780 and 928,488 is: 2,034,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,780 : 928,488 = 928,488 : x
  2. Step 2: Convert to fraction form
    423,780/928,488 = 928,488/x
  3. Step 3: Cross multiply
    423,780x = 928,488 × 928,488
  4. Step 4: Simplify right side
    423,780x = 862,089,966,144
  5. Step 5: Solve for x
    x = 862,089,966,144/423,780
  6. Step 6: Final answer
    x = 2,034,286.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.