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Finding the Third Proportional to 623,871 and 931,648

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Solution

The third proportional to 623,871 and 931,648 is: 1,391,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,871 : 931,648 = 931,648 : x
  2. Step 2: Convert to fraction form
    623,871/931,648 = 931,648/x
  3. Step 3: Cross multiply
    623,871x = 931,648 × 931,648
  4. Step 4: Simplify right side
    623,871x = 867,967,995,904
  5. Step 5: Solve for x
    x = 867,967,995,904/623,871
  6. Step 6: Final answer
    x = 1,391,261.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.