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Finding the Third Proportional to 645,442 and 1,402,824

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Solution

The third proportional to 645,442 and 1,402,824 is: 3,048,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,442 : 1,402,824 = 1,402,824 : x
  2. Step 2: Convert to fraction form
    645,442/1,402,824 = 1,402,824/x
  3. Step 3: Cross multiply
    645,442x = 1,402,824 × 1,402,824
  4. Step 4: Simplify right side
    645,442x = 1,967,915,174,976
  5. Step 5: Solve for x
    x = 1,967,915,174,976/645,442
  6. Step 6: Final answer
    x = 3,048,941.93

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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.