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Finding the Third Proportional to 653,611 and 1,009,729

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Solution

The third proportional to 653,611 and 1,009,729 is: 1,559,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,611 : 1,009,729 = 1,009,729 : x
  2. Step 2: Convert to fraction form
    653,611/1,009,729 = 1,009,729/x
  3. Step 3: Cross multiply
    653,611x = 1,009,729 × 1,009,729
  4. Step 4: Simplify right side
    653,611x = 1,019,552,653,441
  5. Step 5: Solve for x
    x = 1,019,552,653,441/653,611
  6. Step 6: Final answer
    x = 1,559,876.83

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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.