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Finding the Third Proportional to 373,980 and 822,726

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Solution

The third proportional to 373,980 and 822,726 is: 1,809,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,980 : 822,726 = 822,726 : x
  2. Step 2: Convert to fraction form
    373,980/822,726 = 822,726/x
  3. Step 3: Cross multiply
    373,980x = 822,726 × 822,726
  4. Step 4: Simplify right side
    373,980x = 676,878,071,076
  5. Step 5: Solve for x
    x = 676,878,071,076/373,980
  6. Step 6: Final answer
    x = 1,809,931.20

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Why These Related Problems?

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