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Finding the Third Proportional to 830,820 and 1,807,440

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Solution

The third proportional to 830,820 and 1,807,440 is: 3,932,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,820 : 1,807,440 = 1,807,440 : x
  2. Step 2: Convert to fraction form
    830,820/1,807,440 = 1,807,440/x
  3. Step 3: Cross multiply
    830,820x = 1,807,440 × 1,807,440
  4. Step 4: Simplify right side
    830,820x = 3,266,839,353,600
  5. Step 5: Solve for x
    x = 3,266,839,353,600/830,820
  6. Step 6: Final answer
    x = 3,932,066.34

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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.