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Finding the Third Proportional to 931,905 and 2,038,281

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Solution

The third proportional to 931,905 and 2,038,281 is: 4,458,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,905 : 2,038,281 = 2,038,281 : x
  2. Step 2: Convert to fraction form
    931,905/2,038,281 = 2,038,281/x
  3. Step 3: Cross multiply
    931,905x = 2,038,281 × 2,038,281
  4. Step 4: Simplify right side
    931,905x = 4,154,589,434,961
  5. Step 5: Solve for x
    x = 4,154,589,434,961/931,905
  6. Step 6: Final answer
    x = 4,458,168.41

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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.