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Finding the Third Proportional to 653,802 and 999,729

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Solution

The third proportional to 653,802 and 999,729 is: 1,528,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,802 : 999,729 = 999,729 : x
  2. Step 2: Convert to fraction form
    653,802/999,729 = 999,729/x
  3. Step 3: Cross multiply
    653,802x = 999,729 × 999,729
  4. Step 4: Simplify right side
    653,802x = 999,458,073,441
  5. Step 5: Solve for x
    x = 999,458,073,441/653,802
  6. Step 6: Final answer
    x = 1,528,686.17

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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.