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Finding the Third Proportional to 932,013 and 2,038,473

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Solution

The third proportional to 932,013 and 2,038,473 is: 4,458,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,013 : 2,038,473 = 2,038,473 : x
  2. Step 2: Convert to fraction form
    932,013/2,038,473 = 2,038,473/x
  3. Step 3: Cross multiply
    932,013x = 2,038,473 × 2,038,473
  4. Step 4: Simplify right side
    932,013x = 4,155,372,171,729
  5. Step 5: Solve for x
    x = 4,155,372,171,729/932,013
  6. Step 6: Final answer
    x = 4,458,491.64

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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.