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Finding the Third Proportional to 604,548 and 1,317,634

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Solution

The third proportional to 604,548 and 1,317,634 is: 2,871,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,548 : 1,317,634 = 1,317,634 : x
  2. Step 2: Convert to fraction form
    604,548/1,317,634 = 1,317,634/x
  3. Step 3: Cross multiply
    604,548x = 1,317,634 × 1,317,634
  4. Step 4: Simplify right side
    604,548x = 1,736,159,357,956
  5. Step 5: Solve for x
    x = 1,736,159,357,956/604,548
  6. Step 6: Final answer
    x = 2,871,830.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.