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Finding the Third Proportional to 779,802 and 1,675,641

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Solution

The third proportional to 779,802 and 1,675,641 is: 3,600,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,802 : 1,675,641 = 1,675,641 : x
  2. Step 2: Convert to fraction form
    779,802/1,675,641 = 1,675,641/x
  3. Step 3: Cross multiply
    779,802x = 1,675,641 × 1,675,641
  4. Step 4: Simplify right side
    779,802x = 2,807,772,760,881
  5. Step 5: Solve for x
    x = 2,807,772,760,881/779,802
  6. Step 6: Final answer
    x = 3,600,622.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.