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Finding the Third Proportional to 645,412 and 1,402,766

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Solution

The third proportional to 645,412 and 1,402,766 is: 3,048,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,412 : 1,402,766 = 1,402,766 : x
  2. Step 2: Convert to fraction form
    645,412/1,402,766 = 1,402,766/x
  3. Step 3: Cross multiply
    645,412x = 1,402,766 × 1,402,766
  4. Step 4: Simplify right side
    645,412x = 1,967,752,450,756
  5. Step 5: Solve for x
    x = 1,967,752,450,756/645,412
  6. Step 6: Final answer
    x = 3,048,831.52

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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.