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Finding the Third Proportional to 787,579 and 1,683,118

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Solution

The third proportional to 787,579 and 1,683,118 is: 3,596,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,579 : 1,683,118 = 1,683,118 : x
  2. Step 2: Convert to fraction form
    787,579/1,683,118 = 1,683,118/x
  3. Step 3: Cross multiply
    787,579x = 1,683,118 × 1,683,118
  4. Step 4: Simplify right side
    787,579x = 2,832,886,201,924
  5. Step 5: Solve for x
    x = 2,832,886,201,924/787,579
  6. Step 6: Final answer
    x = 3,596,954.97

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Why These Related Problems?

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