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Finding the Third Proportional to 608,076 and 1,294,896

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Solution

The third proportional to 608,076 and 1,294,896 is: 2,757,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,076 : 1,294,896 = 1,294,896 : x
  2. Step 2: Convert to fraction form
    608,076/1,294,896 = 1,294,896/x
  3. Step 3: Cross multiply
    608,076x = 1,294,896 × 1,294,896
  4. Step 4: Simplify right side
    608,076x = 1,676,755,650,816
  5. Step 5: Solve for x
    x = 1,676,755,650,816/608,076
  6. Step 6: Final answer
    x = 2,757,477.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.