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Finding the Third Proportional to 473,220 and 1,032,080

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Solution

The third proportional to 473,220 and 1,032,080 is: 2,250,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,220 : 1,032,080 = 1,032,080 : x
  2. Step 2: Convert to fraction form
    473,220/1,032,080 = 1,032,080/x
  3. Step 3: Cross multiply
    473,220x = 1,032,080 × 1,032,080
  4. Step 4: Simplify right side
    473,220x = 1,065,189,126,400
  5. Step 5: Solve for x
    x = 1,065,189,126,400/473,220
  6. Step 6: Final answer
    x = 2,250,938.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.