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Finding the Third Proportional to 642,688 and 1,399,808

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Solution

The third proportional to 642,688 and 1,399,808 is: 3,048,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,688 : 1,399,808 = 1,399,808 : x
  2. Step 2: Convert to fraction form
    642,688/1,399,808 = 1,399,808/x
  3. Step 3: Cross multiply
    642,688x = 1,399,808 × 1,399,808
  4. Step 4: Simplify right side
    642,688x = 1,959,462,436,864
  5. Step 5: Solve for x
    x = 1,959,462,436,864/642,688
  6. Step 6: Final answer
    x = 3,048,854.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.