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Finding the Third Proportional to 685,776 and 1,484,304

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Solution

The third proportional to 685,776 and 1,484,304 is: 3,212,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,776 : 1,484,304 = 1,484,304 : x
  2. Step 2: Convert to fraction form
    685,776/1,484,304 = 1,484,304/x
  3. Step 3: Cross multiply
    685,776x = 1,484,304 × 1,484,304
  4. Step 4: Simplify right side
    685,776x = 2,203,158,364,416
  5. Step 5: Solve for x
    x = 2,203,158,364,416/685,776
  6. Step 6: Final answer
    x = 3,212,650.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.