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Finding the Third Proportional to 646,572 and 1,403,736

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Solution

The third proportional to 646,572 and 1,403,736 is: 3,047,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,572 : 1,403,736 = 1,403,736 : x
  2. Step 2: Convert to fraction form
    646,572/1,403,736 = 1,403,736/x
  3. Step 3: Cross multiply
    646,572x = 1,403,736 × 1,403,736
  4. Step 4: Simplify right side
    646,572x = 1,970,474,757,696
  5. Step 5: Solve for x
    x = 1,970,474,757,696/646,572
  6. Step 6: Final answer
    x = 3,047,572.05

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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.