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Finding the Third Proportional to 553,681 and 854,132

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Solution

The third proportional to 553,681 and 854,132 is: 1,317,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,681 : 854,132 = 854,132 : x
  2. Step 2: Convert to fraction form
    553,681/854,132 = 854,132/x
  3. Step 3: Cross multiply
    553,681x = 854,132 × 854,132
  4. Step 4: Simplify right side
    553,681x = 729,541,473,424
  5. Step 5: Solve for x
    x = 729,541,473,424/553,681
  6. Step 6: Final answer
    x = 1,317,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.