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Finding the Third Proportional to 669,688 and 1,404,764

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Solution

The third proportional to 669,688 and 1,404,764 is: 2,946,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,688 : 1,404,764 = 1,404,764 : x
  2. Step 2: Convert to fraction form
    669,688/1,404,764 = 1,404,764/x
  3. Step 3: Cross multiply
    669,688x = 1,404,764 × 1,404,764
  4. Step 4: Simplify right side
    669,688x = 1,973,361,895,696
  5. Step 5: Solve for x
    x = 1,973,361,895,696/669,688
  6. Step 6: Final answer
    x = 2,946,688.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.