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Finding the Third Proportional to 645,414 and 1,402,770

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Solution

The third proportional to 645,414 and 1,402,770 is: 3,048,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,414 : 1,402,770 = 1,402,770 : x
  2. Step 2: Convert to fraction form
    645,414/1,402,770 = 1,402,770/x
  3. Step 3: Cross multiply
    645,414x = 1,402,770 × 1,402,770
  4. Step 4: Simplify right side
    645,414x = 1,967,763,672,900
  5. Step 5: Solve for x
    x = 1,967,763,672,900/645,414
  6. Step 6: Final answer
    x = 3,048,839.46

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