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Finding the Third Proportional to 802,302 and 1,762,076

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Solution

The third proportional to 802,302 and 1,762,076 is: 3,870,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,302 : 1,762,076 = 1,762,076 : x
  2. Step 2: Convert to fraction form
    802,302/1,762,076 = 1,762,076/x
  3. Step 3: Cross multiply
    802,302x = 1,762,076 × 1,762,076
  4. Step 4: Simplify right side
    802,302x = 3,104,911,829,776
  5. Step 5: Solve for x
    x = 3,104,911,829,776/802,302
  6. Step 6: Final answer
    x = 3,870,003.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.