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Finding the Third Proportional to 787,168 and 1,683,776

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Solution

The third proportional to 787,168 and 1,683,776 is: 3,601,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,168 : 1,683,776 = 1,683,776 : x
  2. Step 2: Convert to fraction form
    787,168/1,683,776 = 1,683,776/x
  3. Step 3: Cross multiply
    787,168x = 1,683,776 × 1,683,776
  4. Step 4: Simplify right side
    787,168x = 2,835,101,618,176
  5. Step 5: Solve for x
    x = 2,835,101,618,176/787,168
  6. Step 6: Final answer
    x = 3,601,647.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.