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Finding the Third Proportional to 480,852 and 1,038,780

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Solution

The third proportional to 480,852 and 1,038,780 is: 2,244,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,852 : 1,038,780 = 1,038,780 : x
  2. Step 2: Convert to fraction form
    480,852/1,038,780 = 1,038,780/x
  3. Step 3: Cross multiply
    480,852x = 1,038,780 × 1,038,780
  4. Step 4: Simplify right side
    480,852x = 1,079,063,888,400
  5. Step 5: Solve for x
    x = 1,079,063,888,400/480,852
  6. Step 6: Final answer
    x = 2,244,066.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.