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Finding the Third Proportional to 653,930 and 999,903

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Solution

The third proportional to 653,930 and 999,903 is: 1,528,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,930 : 999,903 = 999,903 : x
  2. Step 2: Convert to fraction form
    653,930/999,903 = 999,903/x
  3. Step 3: Cross multiply
    653,930x = 999,903 × 999,903
  4. Step 4: Simplify right side
    653,930x = 999,806,009,409
  5. Step 5: Solve for x
    x = 999,806,009,409/653,930
  6. Step 6: Final answer
    x = 1,528,919.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.