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Finding the Third Proportional to 665,068 and 1,377,430

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Solution

The third proportional to 665,068 and 1,377,430 is: 2,852,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,068 : 1,377,430 = 1,377,430 : x
  2. Step 2: Convert to fraction form
    665,068/1,377,430 = 1,377,430/x
  3. Step 3: Cross multiply
    665,068x = 1,377,430 × 1,377,430
  4. Step 4: Simplify right side
    665,068x = 1,897,313,404,900
  5. Step 5: Solve for x
    x = 1,897,313,404,900/665,068
  6. Step 6: Final answer
    x = 2,852,811.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.