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Finding the Third Proportional to 690,567 and 1,477,056

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Solution

The third proportional to 690,567 and 1,477,056 is: 3,159,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,567 : 1,477,056 = 1,477,056 : x
  2. Step 2: Convert to fraction form
    690,567/1,477,056 = 1,477,056/x
  3. Step 3: Cross multiply
    690,567x = 1,477,056 × 1,477,056
  4. Step 4: Simplify right side
    690,567x = 2,181,694,427,136
  5. Step 5: Solve for x
    x = 2,181,694,427,136/690,567
  6. Step 6: Final answer
    x = 3,159,279.88

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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.