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Finding the Third Proportional to 668,824 and 1,455,748

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Solution

The third proportional to 668,824 and 1,455,748 is: 3,168,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,824 : 1,455,748 = 1,455,748 : x
  2. Step 2: Convert to fraction form
    668,824/1,455,748 = 1,455,748/x
  3. Step 3: Cross multiply
    668,824x = 1,455,748 × 1,455,748
  4. Step 4: Simplify right side
    668,824x = 2,119,202,239,504
  5. Step 5: Solve for x
    x = 2,119,202,239,504/668,824
  6. Step 6: Final answer
    x = 3,168,549.93

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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.