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Finding the Third Proportional to 802,320 and 1,762,112

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Solution

The third proportional to 802,320 and 1,762,112 is: 3,870,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,320 : 1,762,112 = 1,762,112 : x
  2. Step 2: Convert to fraction form
    802,320/1,762,112 = 1,762,112/x
  3. Step 3: Cross multiply
    802,320x = 1,762,112 × 1,762,112
  4. Step 4: Simplify right side
    802,320x = 3,105,038,700,544
  5. Step 5: Solve for x
    x = 3,105,038,700,544/802,320
  6. Step 6: Final answer
    x = 3,870,075.16

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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.