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Finding the Third Proportional to 653,106 and 1,008,786

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Solution

The third proportional to 653,106 and 1,008,786 is: 1,558,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,106 : 1,008,786 = 1,008,786 : x
  2. Step 2: Convert to fraction form
    653,106/1,008,786 = 1,008,786/x
  3. Step 3: Cross multiply
    653,106x = 1,008,786 × 1,008,786
  4. Step 4: Simplify right side
    653,106x = 1,017,649,193,796
  5. Step 5: Solve for x
    x = 1,017,649,193,796/653,106
  6. Step 6: Final answer
    x = 1,558,168.50

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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.